{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f7022970ed0>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "line_up,= ax.plot([1, 2, 3], label='Line 2')\n",
    "line_down, = ax.plot([3, 2, 1], label='Line 1')\n",
    "handles,labels=ax.get_legend_handles_labels()\n",
    "ax.legend(handles, labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fdb7fc175d0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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mJjqdLt8iCsDGHkavA5/PwMQMTm8yTOufcEztZEIIUSZlZOfy7saTTF8bQ2pmDh3rVSVsprcUK8WsyAWLoijMmjULLy8vWrZsWaB9EhMT2bFjB5MmTcq3vVmzZgQGBrJlyxaCgoKwsrKiS5cuXLhw4bGvNXfu3LyzN1qtFhcXl6J2peLRaMBzOryyE7R14N4VWO4DhxbLEJEQQhTCpVupDFl4gLWHr6HRwPTujQia7I6T1lrtaOWORlGK9g3l5+fH9u3biYqKwtm5YE+UnDt3Ll9//TXXr1/HwsLise30ej3t2rWja9euBAQEPLJNZmYmmZmZees6nQ4XFxeSk5Oxs7MrXGcqsgf3DM8fOrvNsN5sAAxeANZV1c0lhBBGbmPMn7y38Q/Ss3KpVsmC715si3fjGmrHKnN0Oh1arfap39+FuoblLzNmzGDLli1EREQUuFhRFIUVK1bg6+v7xGIFwMTEhI4dOz7xDIulpSWWlpaFyi0ewboqjPoJflsKu943FC6JJ2DESnDuoHY6IYQwOg+ycvloyx/8fORPADwaVGPei21xsJMbRUpSoYaEFEVh+vTphIaGsnfvXurXr1/gfcPDw7l48SITJ04s0PvExsbi5CSzAJYKjQY6T4WJu6BqPUi+Bit6w8H5oNernU4IIYzGhRspDF4Yxc9H/kSjgZk9GvPTpM5SrJSCQhUsfn5+/PTTT6xduxZbW1uSkpJISkriwYMHeW1mz57N2LFjH9p3+fLldO7c+ZHXu8yZM4edO3dy+fJlYmNjmThxIrGxsUybNq0IXRJFVssNpkZAixdAn2M44xL0IqTfVTuZEEKobv2ReAYuiOL8jVRq2FqyZmJn3ujVBFMTjdrRKoRCFSyLFi0iOTmZ5557Dicnp7wlODg4r01iYiLXrl3Lt19ycjIhISGPPbty//59pkyZQvPmzfHx8SEhIYGIiAg6depUhC6JZ2KlheErof83YGoJF3bCYi+4dkjtZEIIoYq0zBxm/RzLvzecICNbj3fj6oT5e+PZqLra0SqUIl90a2wKetGOKITEE7B+vGGiOY0pPP8+dHndMBGdEEJUAGeTdPitOcalW2mYaGBWrya89lwjTOSsSrEp6Pe3fPOIx3NqDVPDodUIUHLh1zmwZjik3lI7mRBClChFUQj67RqDFxzg0q00atpZsW6KB9OfbyzFikqkYBFPZmkLQ5fBoPlgZgWXfjUMEV2JUjuZEEKUiJSMbPzXxTI79CSZOXqea1qDsJnedKpf8ElSRfGTgkU8nUYD7cbC5H1QvSmkJsGqgRD+P9Dnqp1OCCGKzR8JyQycH8XW49cxNdEwu28zVozriH2lJ0/HIUqeFCyi4BxdYco+aDMGFD3s+wx+fAFSbqidTAghnomiKPwYfYWh3x/kyp10ammt+HmqB1O7NZQhICMhBYsoHItK8MIiGLIIzG0gLtwwRHR5v9rJhBCiSHQZ2fitPcYHm0+RlaunZ3NHwmZ6076uzPhtTKRgEUXTdgxM2Q8OrpB2E1YPgb2fQW6O2smEEKLAjsffp39AJGEnkzA31fB+/+YsG9ueKjYyBGRspGARRVejKUzeC+3GAQpE/A9WDwJdotrJhBDiiRRFYUVUHMMXHyT+7gOcq1qzfponk7wboNHIEJAxkoJFPBtzaxgUAEN/AIvKcPUALO4CF/aonUwIIR7pfnoWU348yifbTpOdq9CnRU22+3vT1qWK2tHEE0jBIopH6xEwJRwcW0H6HVgzDPZ8LENEQgijcuzaPfoHRLH79A0sTE2YM6gFi15uh9baXO1o4imkYBHFp3ojmLQHOk4yrEd9C4H9IflPdXMJISo8vV5hacQlRi6OJuH+A+pWsyH0NU/GedaTIaAyQgoWUbzMraD/1zAiECztIP6Q4S6ic7+onUwIUUHdTcti0uojfB52lhy9woDWTmyb4UXL2lq1o4lCkIJFlIwWLxim9XdqCw/uQdAo2Pke5GSpnUwIUYH8fuUu/QMi2Xv2JhZmJnz+Qivmj3bD1kqGgMoaKVhEybFvABN3QedXDevRC2BlX7h3Vd1cQohyT69XWLjvIi8uPURicgYNqldis18XxnSuI0NAZZQULKJkmVlC3//CqDVgpYWEI7DEG85sUzuZEKKcup2aybiVv/HlznPk6hVecKvN1hleNHd6/JOAhfGTgkWUjuYDYGok1O4AGckQ/BLseBtyMtVOJoQoR6Iv3aHfvEgiL9zGytyE/w1rzTcj21DJ0kztaOIZScEiSk/VujBhB3hMN6wfXgzLfeDuZXVzCSHKvFy9wrw9F3jph0PcTMmksUNltkz3YmRHFxkCKiekYBGly8wCen8Go4PBuiokxsKSbnBqo9rJhBBl1M2UDHyXH+bbPefRKzCivTObp3ehiaOt2tFEMZKCRaijaR+YFgUu7pCpg/XjYdssyM5QO5kQogyJunCbfvMiOXjpDjYWpnwzsg1fjmiDjYUMAZU3UrAI9WidYfw28JplWD+yHH7oCbcvqptLCGH0cnL1fL3rHL4rDnM7NYtmNW3ZMt2Loe2c1Y4mSogULEJdpubQ8yN4OQRsqsGNk7C0G5xYr3YyIYSRSkrOYMwPh5m/9yKKAqM71WGTXxcaOVRWO5ooQVKwCOPQqCdMOwB1vSArFUInwZYZkJWudjIhhBHZf+4m/QIi+S3uLpUsTAkY7cbcoa2wMjdVO5ooYVKwCONh5wRjN0O3twENHFsNP/SAW+fUTiaEUFl2rp7/7jjL+JW/czctixa17Njm782gNrXUjiZKiRQswriYmkH3d2HsJqjkADdPw9LnIHat2smEECq5fv8BLy49xOLwSwCM9ahLyKue1K9eSeVkojRJwSKMU4PnDHcR1e8G2emw6VXY+CpkpamdTAhRivacvkG/gEiOXr2HraUZ37/Ujk8Gt5QhoApIChZhvGwdwXcjdH8PNCZwfK3hbMuN02onE0KUsKwcPf/ZdppJq49wPz2b1s5atvt706+Vk9rRhEqkYBHGzcQUur0F47aCrRPcPg/LusPRVaAoaqcTQpSA+LvpjFgSzQ9RcQC80qU+G6Z5UqeajcrJhJqkYBFlQz0vwxBRwx6QkwFb/SF0MmSmqJ1MCFGMfvkjiX4BkRyPv4+dlRlLfdvz4UBXLMzk66qik98AUXZUqg4vbYAeH4HGFE6uNwwRJZ5QO5kQ4hll5uTy8ZZTTPvpKCkZObjVqULYTG98WtRUO5owElKwiLLFxAS8Z8GEMLCrDXcuGmbH/f0HGSISooy6eieN4YuiCTx4BYCpXRvw81QPnKvKEJD4/6RgEWVTHXfDEFGTPpCbCdv/BRsmQEay2smEEIWw7cR1+gdEcTIhmao25qwY34HZ/ZpjbipfTyI/+Y0QZZeNPYxeBz6fgYmZ4YnPS7rC9Ri1kwkhniIjO5f3Np5k+toYUjNz6FivKmEzvXm+maPa0YSRKlTBMnfuXDp27IitrS0ODg4MGTKEc+eePAvp/v370Wg0Dy1nz57N1y4kJARXV1csLS1xdXVl48aNhe+NqHg0GvCcDq/sBG0duHcFlvvA4SUyRCSEkbp8K5UXvj/ImsPX0GjAr3tDgia746S1VjuaMGKFKljCw8Px8/Pj0KFD7N69m5ycHHx8fEhLe/pkXufOnSMxMTFvady4cd7PoqOjGTVqFL6+vhw/fhxfX19GjhzJ4cOHC98jUTE5d4BpEdBsAORmwY63IPhleHBP7WRCiL/ZFJPAgPlRnEnUUa2SBasmdOLfvZthJkNA4ik0ilL0P0Nv3bqFg4MD4eHhdO3a9ZFt9u/fT/fu3bl37x5VqlR5ZJtRo0ah0+nYsWNH3rY+ffpQtWpVgoKCCpRFp9Oh1WpJTk7Gzs6u0H0R5YSiGM6u7Hof9NmGsy4jVhoKGiGEah5kGe4CCj4SD4B7A3vmveiGo52VysmE2gr6/f1MJW1ysuECR3t7+6e2dXNzw8nJiR49erBv3758P4uOjsbHxyfftt69e3Pw4MHHvl5mZiY6nS7fIgQaDbhPg4m7oGo9SL4GK3rDwfkyRCSESi7cSGHwwiiCj8Sj0cDMHo1ZM8ldihVRKEUuWBRFYdasWXh5edGyZcvHtnNycmLp0qWEhIQQGhpK06ZN6dGjBxEREXltkpKScHTMf6GVo6MjSUlJj33duXPnotVq8xYXF5eidkWUR7XbwdQIcB0C+hzDGZegFyH9rtrJhKhQ1h+JZ9CCA5y/kUoNW0vWTOzMG72aYGqiUTuaKGOKPCTk5+fH9u3biYqKwtnZuVD7Dhw4EI1Gw5YtWwCwsLBg1apVjB49Oq/NmjVrmDhxIhkZGY98jczMTDIzM/PWdTodLi4uMiQk8lMUOLIcfnnXcPuznTMMX264LVoIUWLSMnP4YPMfhB5LAMCrUXW+HdWWGraWKicTxqZEh4RmzJjBli1b2LdvX6GLFQB3d3cuXLiQt16zZs2HzqbcvHnzobMuf2dpaYmdnV2+RYiHaDTQcRJM2gP2DUH3J6zsB5HfgF6vdjohyqWzSToGLYgi9FgCJhp406cJq17pJMWKeCaFKlgURWH69OmEhoayd+9e6tevX6Q3jYmJwcnp/z9x08PDg927d+drs2vXLjw9PYv0+kI8xKk1TA2HViNAyYVf58DaEZB2W+1kQpQbiqKw7rdrDF5wgEu30nC0syRosjvTn28sQ0DimZkVprGfnx9r165l8+bN2Nra5p0V0Wq1WFsb7p+fPXs2CQkJrF69GoDvvvuOevXq0aJFC7Kysvjpp58ICQkhJCQk73VnzpxJ165d+eKLLxg8eDCbN29mz549REVFFVc/hQBLWxi6DOp3hbB/w8U9sNgLhi2Hel3UTidEmZaamcO7oSfZcvw6AN2a1OCbkW2oVlnOqojiUaiCZdGiRQA899xz+bavXLmS8ePHA5CYmMi1a9fyfpaVlcWbb75JQkIC1tbWtGjRgu3bt9OvX7+8Np6enqxbt47333+fDz74gIYNGxIcHEznzp2L2C0hHkOjgXZjoXYHWD8Obp+HVQPguXcNzygyMVU7oRBlzqnryUxfG0Pc7TRMTTT8u3dTpng3wETOqohi9EzzsBgTmYdFFFpWGmx/E46vNazX72Y4A2MrU4MLURCKovDToat8uv0MWTl6ammtmD/GjfZ1nz7VhRB/KZV5WIQo0ywqwQuLYMgiMLeBuHDDENHl/WonE8Lo6TKy8Vt7jA82nyIrR0/P5g5s9/eWYkWUGClYhGg7BibvAwdXSLsJq4fAvs9Bn6t2MiGM0ok/7zMgIIqwk0mYmWh4v39zlo3tQNVKFmpHE+WYFCxCADg0g0m/Gq5vQYHwL2DVINAlqp1MCKOhKAorouIYtugg1+6m41zVmg2vejLJuwEajVyvIkqWFCxC/MXCBgbNh6E/gEVluBplGCK6uEftZEKoLjk9m6k/HuWTbafJzlXo3cKR7f7etHWponY0UUFIwSLEP7UeAVPCwbEVpN+Gn4bBno8hN0ftZEKoIubaPfoFRLLr9A0sTE2YM6gFi19uj9baXO1oogKRgkWIR6neyDA7boeJhvWobyGwPyT/qW4uIUqRXq+wLOIyIxZHk3D/AXWr2RDyqifjPOvJEJAodVKwCPE45lYw4BsYvhIs7SD+kGGI6PxOtZMJUeLupWUxafURPgs7Q45eoX9rJ7bO8KKVs1btaKKCkoJFiKdpOdQwrb9TW3hwD9aONDz9OTdb7WRClIgjV+7SLyCSvWdvYmFmwmcvtGTBaDfsrGQISKhHChYhCsK+AUzcBZ2nGdYPzocVfeD+tSfvJ0QZotcrfL//IqOWHiIxOYMG1Sux6bUuvNS5rgwBCdVJwSJEQZlZQt8vYNRPYKWFhCOGIaIz29ROJsQzu52ayfjA3/nfL+fI1SsMaVuLLTO8cK0lM4cL4yAFixCF1XwgTI2E2u0hIxmCX4Id70BOptrJhCiSQ5fv0G9eJBHnb2FlbsL/hrXm21FtqWxZqMfNCVGipGARoiiq1oUJv4DHdMP64UWw3AfuxqmbS4hCyNUrzNtzgTHLDnEzJZNGDpXZ7OfFyI4uMgQkjI4ULEIUlZkF9P4MRq8D66qQGAtLusKpTWonE+KpbqZkMHbFYb7dcx69AsPbO7Nlehea1rRVO5oQjyQFixDPqmlfmBYFLp0hUwfrx8H2f0F2htrJhHikAxdv029eFAcu3sHa3JSvR7ThqxFtsLGQISBhvKRgEaI4aJ1h/HbwesOw/vsPsLwn3Lmkbi4h/iYnV883u87x8vLD3E7NpKmjLVtneDGsvbPa0YR4KilYhCgupubQ82N4KQRsqkHSScMQ0ckNaicTghu6DMb8cJiAvRdRFBjdyYXN07vQyKGy2tGEKBApWIQobo17GoaI6naBrFQImQhb/CH7gdrJRAW1/9xN+s6L5Le4u1SyMGXei22ZO7Q1VuamakcTosCkYBGiJNjVgrFboOtbgAaOrYJlz8Ot82onExVITq6eL345y/iVv3M3LQtXJzu2+XszuG1ttaMJUWhSsAhRUkzN4Pn3wHcjVHKAm6dhaTeIDVI7magArt9/wItLD7Fov+E6Kl/3uoS+5kn96pVUTiZE0UjBIkRJa9jdMERUvytkp8OmabDpNchKUzuZKKd+PXODfgGRHLl6D1tLM75/qR2fDmkpQ0CiTJOCRYjSYOsIvpug+3ugMYHYNbC0O9w4rXYyUY5k5ej5z7bTTFx1hPvp2bR21rLd35t+rZzUjibEM5OCRYjSYmIK3d4yXNtSuSbcPme4ruXYalAUtdOJMi7+bjojl0TzQ5RhtuUJXeqxfpoHdarZqJxMiOIhBYsQpa2+t2GIqOHzkPMAtsyA0CmQmaJ2MlFG7TyVRP+ASGLj72NnZcYS3/Z8NLAFlmYyBCTKDylYhFBD5RqG+Vp6fAQaUzj5Myx9zjB3ixAFlJmTy8dbTjH1x6PoMnJo61KFsJne9G5RU+1oQhQ7KViEUIuJCXjPMsyQa1cb7lyEZT3g9+UyRCSe6uqdNIYviibw4BUApnRtwPppHjhXlSEgUT5JwSKE2up6GIaIGveG3EzYPgs2TIAMndrJhJHafiKRAQFRnExIpoqNOSvGd+Ddfs0xN5V/0kX5Jb/dQhgDG3vDU599/gMmZnBqo2Fa/+sxaicTRiQjO5f3N53Eb+0xUjJz6FC3KmH+3jzfzFHtaEKUOClYhDAWJibgOQMm/ALaOnAvDpb7wOElMkQkuHwrlRe+P8hPh64B8NpzDVk3xZ1aVaxVTiZE6ZCCRQhj49IRpkVAswGQmwU73oLgl+HBPbWTCZVsjk1g4PwoziTqqFbJglWvdOKtPs0wkyEgUYHIb7sQxsi6Koz6Cfp8ASbmcHabYYjoz6NqJxOl6EFWLu+EnGDmuljSsnJxb2BP2ExvujWpoXY0IUqdFCxCGCuNBtynwcRdULUe3L8GK3zg4AIZIqoALt5MYcjCA6z7PR6NBvx7NGbNJHcc7azUjiaEKgpVsMydO5eOHTtia2uLg4MDQ4YM4dy5c0/cJzQ0lF69elGjRg3s7Ozw8PBg586d+doEBgai0WgeWjIyMgrfIyHKm9rtYGoEuA4GfQ7seg+CRkP6XbWTiRKy4eifDJx/gHM3Uqhe2ZKfJnZmVq8mmJpo1I4mhGoKVbCEh4fj5+fHoUOH2L17Nzk5Ofj4+JCW9viHuEVERNCrVy/CwsI4evQo3bt3Z+DAgcTE5L/7wc7OjsTExHyLlZX8JSEEAFZaGLEK+n8NppZwfgcs9oZrh9VOJopRelYO//r5OG+uP86D7Fy6NKpG2EwvujSqrnY0IVSnUZSin1u+desWDg4OhIeH07Vr1wLv16JFC0aNGsWHH34IGM6wvP7669y/f7+oUdDpdGi1WpKTk7Gzsyvy6whh9BJPwPrxcPeSYZbcHh+A50zDXUaizDqXlMJra45y6VYaJhp4o2cTXuveSM6qiHKvoN/fz/QvXHJyMgD29vYF3kev15OSkvLQPqmpqdStWxdnZ2cGDBjw0BmYf8rMzESn0+VbhKgQnFrD1HBoORyUXNjzMawdCWm31U4mikBRFNb9do1BC6K4dCsNRztL1k52Z0aPxlKsCPE3RS5YFEVh1qxZeHl50bJlywLv9/XXX5OWlsbIkSPztjVr1ozAwEC2bNlCUFAQVlZWdOnShQsXLjz2debOnYtWq81bXFxcitoVIcoeS1sY9gMMDAAzK7i4GxZ7wZUDaicThZCamcPrwbG8E3qSzBw93ZrUIMzfG/cG1dSOJoTRKfKQkJ+fH9u3bycqKgpnZ+cC7RMUFMSkSZPYvHkzPXv2fGw7vV5Pu3bt6Nq1KwEBAY9sk5mZSWZmZt66TqfDxcVFhoRExXPjlGGI6PZ50JjAc+8anlFkIk/qNWanriczY20Ml2+nYWqi4U2fpkzt2gATOasiKpiCDgmZFeXFZ8yYwZYtW4iIiChwsRIcHMzEiRNZv379E4sVABMTEzp27PjEMyyWlpZYWloWKrcQ5ZJjC5i8D8LehONBsO8/cDUKhi6Dyg5qpxP/oCgKPx2+xqfbTpOVo8dJa8X80W50qFfwoXUhKqJCDQkpisL06dMJDQ1l79691K9fv0D7BQUFMX78eNauXUv//v0L9D6xsbE4OTkVJp4QFZdlZXhhMQz+Hsxt4PJ+wxDR5XC1k4m/0WVkMz0ohg82/UFWjp4ezRwI8/eWYkWIAijUGRY/Pz/Wrl3L5s2bsbW1JSkpCQCtVou1teF5FrNnzyYhIYHVq1cDhmJl7NixzJs3D3d397x9rK2t0Wq1AMyZMwd3d3caN26MTqcjICCA2NhYFi5cWGwdFaJCcHsJarc3DBHdOgOrB0O3t6Db2zJEpLITf95n+toYrt1Nx8xEwzt9mzHRqz4ajQwBCVEQhTrDsmjRIpKTk3nuuedwcnLKW4KDg/PaJCYmcu3atbz1JUuWkJOTg5+fX759Zs6cmdfm/v37TJkyhebNm+Pj40NCQgIRERF06tSpGLooRAXj0Awm74V2YwEFwr8wFC66RLWTVUiKorDyQBzDFh3k2t10alexZv00DyZ5N5BiRYhCeKZ5WIyJzMMixCOcWA/bXoesVLCpDkOXQqMeaqeqMJLTs3kr5Dg7T90AwMfVkS+Ht0FrY65yMiGMR6nMwyKEMHKtR8CUcHBsBem34aehsGcO5Oaonazci7l2j34Bkew8dQMLUxM+HujKEt/2UqwIUURSsAhR3lVvBJP2QIdXDOtR38CqAZCcoG6uckpRFJZFXGbE4mgS7j+gjr0NIa96Mr6LXK8ixLOQgkWIisDcCgZ8C8NXgoUtXIs23EV0fpfaycqVe2lZTFp1hM/CzpCjV+jfyolt/l60ctaqHU2IMk8KFiEqkpZDYVoEOLWBB3dh7QjY9QHkZqudrMw7cuUu/QMi+fXsTSzMTPjPkJYsGOOGnZUMAQlRHKRgEaKisW8AE3dDp6mG9YMBsLIv3L/25P3EI+n1Ct/vv8iopYe4npxB/eqV2PiaJy+715UhICGKkRQsQlREZpbQ738w8kew1MKfv8Nibzi7Xe1kZcqd1EwmBP7O/345R65eYXDbWmyd4UWLWjIEJERxk4JFiIrMdZBhiKh2e8i4D+vGwI53ICdL7WRG79DlO/QLiCT8/C0szUz4YlgrvhvVlsqWRXriiRDiKaRgEaKiq1oPJvwCHtMN64cXwQofuBunaixjlatXCPj1AmOWHeKGLpNGDpXZMt2LUR3ryBCQECVIChYhBJhZQO/PYPQ6sK4K12NgSVc4tUntZEblZkoGY1cc5pvd59ErMKydM1umd6FpTVu1owlR7knBIoT4/5r2hamR4NIZMnWwfhxs/xdkZ6idTHUHLt6m37woDly8g7W5KV+NaMPXI9tgYyFDQEKUBilYhBD5VXGB8duhy+uG9d9/gOW94M4lVWOpJVev8M3u87y8/DC3UzNp6mjL1hldGN7eWe1oQlQo8iwhIcTjXdgDG6dA+h2wqAwD50Gr4WqnKjU3dBn4B8VwOO4uAC92dOGjgS2wtpAnX5cXer2erCy5yLwkmZubY2r6+GOmoN/fUrAIIZ5Mdx1CJsHVA4b19uOhz3/B3FrVWCUt/PwtZgXHcicti0oWpnw+tBWD29ZWO5YoRllZWcTFxaHX69WOUu5VqVKFmjVrPvLC9IJ+f8vgqxDiyexqwdgtEP5fiPgKjgZC/O8wIhBqNFE7XbHLydXz9e7zLNpvGAJr7mTHwjFuNKhRWeVkojgpikJiYiKmpqa4uLhgYiJXSJQERVFIT0/n5s2bADg5ORX5taRgEUI8nakZPP8+1O0CoZPh5ilY+hwM+AbavKh2umJz/f4D/INiOHL1HgC+7nV5r39zrMxlCKi8ycnJIT09nVq1amFjY6N2nHLN2tpwNvbmzZs4ODg8cXjoSaSkFEIUXMPuMC0K6neF7DTYOBU2+UFWmtrJntneszfoFxDJkav3sLU0Y+GYdnw6pKUUK+VUbm4uABYWFionqRj+Kgqzs4v+3DIpWIQQhWNbE3w3wXPvgsYEYn+CZc/DzTNqJyuS7Fw9n4ed4ZXAI9xPz6ZVbS3b/L3o37rop65F2SGT/ZWO4vjvLAWLEKLwTEzhubcN17ZUrgm3zsLS7nDsRyhD1/HH301nxOJolkZcBmC8Zz02vOpB3WqVVE4mhPgnKViEEEVX39swRNTwech5AFumQ+gUyExVO9lT7TyVRP+ASGLj72NnZcYS3/Z8PKgFlmYyBCTKLo1Gw6ZNm9SOUSKkYBFCPJvKNeClEOjxIWhM4eTPsLQbJJ1UO9kjZebkMmfrKab+eBRdRg5tXaqw3d+b3i1qqh1NiKcaP348Q4YMeezPExMT6du3b4lmCA0NpVevXtSoUQM7Ozs8PDzYuXNnib4nSMEihCgOJibg/S/DDLm2teDORVjWA46sMKohomt30hm+KJqVB64AMNm7Pj9P9cDFXu4SEeVDzZo1sbS0LNH3iIiIoFevXoSFhXH06FG6d+/OwIEDiYmJKdH3lYJFCFF86noYhoga94bcTNj2Bmx4BTJ0aicj7GQi/QMiOZmQTBUbc5aP68B7/V2xMJN/BkX58fchoStXrqDRaAgNDaV79+7Y2NjQpk0boqOj8+1z8OBBunbtirW1NS4uLvj7+5OW9vg7/7777jveeustOnbsSOPGjfn8889p3LgxW7duLcmuScEihChmlaoZnvrc61MwMYNToYYnP1+PVSVORnYuH2z6g9fWHCMlM4cOdasS5u9Nj+aOquQRxklRFNKzclRZSnrC+ffee48333yT2NhYmjRpwujRo8nJyQHg5MmT9O7dm6FDh3LixAmCg4OJiopi+vTpBX59vV5PSkoK9vb2JdUFQCaOE0KUBBMT6OIPdTxgwwS4F2d4gKLPZ9BpMpTSraRxt9PwW3OM04mGMzyvPdeQN3o1wdxU/lYT+T3IzsX1w5K/DuNRTn/Su0Sf+v3mm2/Sv39/AObMmUOLFi24ePEizZo148svv2TMmDG8/vrrADRu3JiAgAC6devGokWLsLKyeurrf/3116SlpTFy5MgS6wPIGRYhREly6QhTI6Bpf8jNgh3/hp994cH9En/rzbEJDAiI5HSiDvtKFqx6pRNv9WkmxYqocFq3bp33//+aGv+vqfKPHj1KYGAglStXzlt69+6NXq8nLi7uqa8dFBTExx9/THBwMA4ODiXTgf8jZ1iEECXLxh5eXAOHF8OuD+DMVkg8DsMDwbl9sb9dRrbhLqCg3+IB6FzfnoDRbjjaPf0vRVFxWZubcvqT3qq9d0kyNzfP+/9/TeD21wMf9Xo9U6dOxd/f/6H96tSp88TXDQ4OZuLEiaxfv56ePXsWY+JHk4JFCFHyNBpwfxVcOsH6CXD/KqzoDb3mgPtrxTZEdPFmCn5rYjh3IwWNBmZ0b4R/j8aYyVkV8RQajaZEh2WMVbt27Th16hSNGjUq1H5BQUG88sorBAUF5Q03lbSK9+kIIdRTuz1Mi4QtM+D0Ztj5LsRFwpDvDWdinkHI0T95f9MfPMjOpXplS74b1RavxtWLKbgQxiM5OZnY2Nh82+zt7Z96RuRR3n77bdzd3fHz82Py5MlUqlSJM2fOsHv3bubPn//IfYKCghg7dizz5s3D3d2dpKQkwPCQQ61WW+gMBSV/dgghSpeVFkasgn5fgakFnN8Bi73h2uEivVx6Vg5vrj/Ov9Yf50F2Ll0aVSNsppcUK6Lc2r9/P25ubvmWDz/8sEiv1bp1a8LDw7lw4QLe3t64ubnxwQcf5F3r8ihLliwhJycHPz8/nJyc8paZM2cWtUsFolFK+n6qUqLT6dBqtSQnJ2NnZ6d2HCFEQSQeh/Xj4e5lwyy5PT4ET3/DXUYFcC4pBb+1x7h4MxUTDbzeswl+3RthaiIPtBNPlpGRQVxcHPXr1y/QnTDi2Tzpv3dBv7/lDIsQQj1ObQx3EbUcDkou7PkI1o6EtNtP3E1RFIJ/v8bghVFcvJmKg60laye749+jsRQrQpRThSpY5s6dS8eOHbG1tcXBwYEhQ4Zw7ty5p+4XHh5O+/btsbKyokGDBixevPihNiEhIbi6umJpaYmrqysbN24sTDQhRFllaQvDfoCB88DMCi7uhsVecPXgI5unZubwRnAsb4ecJCNbT9cmNQib6Y17g2qlHFwIUZoKVbCEh4fj5+fHoUOH2L17Nzk5Ofj4+DxxCt+4uDj69euHt7c3MTExvPvuu/j7+xMSEpLXJjo6mlGjRuHr68vx48fx9fVl5MiRHD5ctDFtIUQZo9FA+/Ew6Veo1hhSEiGwP0R8Cf93+yXA6es6Bs2PYlPsdUxNNLzVpymB4ztSvXLJPjtFCKG+Z7qG5datWzg4OBAeHk7Xrl0f2ebtt99my5YtnDlzJm/btGnTOH78eN7zDEaNGoVOp2PHjh15bfr06UPVqlUJCgoqUBa5hkWIciIzFbb/C06sM6w36I7ywhLWnMrgk22nycrR46S1ImC0Gx3rlexU4KL8kmtYSpfq17AkJycDPPH5AdHR0fj4+OTb1rt3b44cOUJ2dvYT2xw8+OhTwgCZmZnodLp8ixCiHLCsDEOXwODvwdwGLu9D950727cEk5Wjp0czB8L8vaVYEaKCKXLBoigKs2bNwsvLi5YtWz62XVJSEo6O+R8y5ujoSE5ODrdv335im7/u7X6UuXPnotVq8xYXF5eidkUIYYzcXuL8oC1c1tRBm3uXNeafE9IsnB983ahayULtdEKIUlbkgmX69OmcOHGiQEM2mn/MYvnXKNTftz+qzT+3/d3s2bNJTk7OW+Lj4wsTXwhhxBRFIfBAHAPW3abfgzlsNe2JiUah/ZUlaH4cAimP/2NGCFE+FWmm2xkzZrBlyxYiIiJwdnZ+YtuaNWs+dKbk5s2bmJmZUa1atSe2+edZl7+ztLTE0lIutBOivElOz+atkOPsPHUDAB/XOnQdvg4uboStr8OVSFjUBYYuhUY91A0rhCg1hTrDoigK06dPJzQ0lL1791K/fv2n7uPh4cHu3bvzbdu1axcdOnTIeyDT49p4enoWJp4QooyLjb9P//mR7Dx1A3NTDR8NdGWJb3u0NubQeiRMDQfHlpB+G34aBr9+Ark5ascWQpSCQhUsfn5+/PTTT6xduxZbW1uSkpJISkriwYMHeW1mz57N2LFj89anTZvG1atXmTVrFmfOnGHFihUsX76cN998M6/NzJkz2bVrF1988QVnz57liy++YM+ePbz++uvP3kMhhNFTFIUfIi8zfNFB/rz3gDr2NoS86smELvXzDw1XbwyT9kCHVwAFIr+GVQMhOUG17EIYE41Gw6ZNm9SOUSIKVbAsWrSI5ORknnvuuXzPDwgODs5rk5iYyLVr1/LW69evT1hYGPv376dt27Z8+umnBAQEMGzYsLw2np6erFu3jpUrV9K6dWsCAwMJDg6mc+fOxdBFIYQxu5+exeTVR/jP9jPk6BX6tarJNn8vWjtXefQO5tYw4FsYvgIsbOHaQcNEc+d3lWpuIdQwfvx4hgwZ8tifJyYm0rdv3xLNkJiYyJgxY2jatCkmJialdnKhUNewFGTKlsDAwIe2devWjWPHjj1xv+HDhzN8+PDCxBFClHFHr95lxtoYridnYGFmwgcDXHm5c50nXnCfp+UwcGoLGyYYnkm0doThOUQ9PgRT8xLPLoQxqlmzZom/R2ZmJjVq1OC9997j22+/LfH3+4s8S0gIUer0eoVF+y8xcskhridnUL96JTa+5omve92CFSt/qdYQJu6GTlMN6wcDYGU/uC93DYqK6e9DQleuXEGj0RAaGkr37t2xsbGhTZs2eZO2/uXgwYN07doVa2trXFxc8Pf3f+IM9vXq1WPevHmMHTsWrVZbkt3JRwoWIUSpupOaySurfueLX86Sq1cY3LYWW2d40aJWEf/hM7OEfv+DkT+CpRb+/M0wRHQ2rHiDi/JNUSArTZ2l6BPOF8h7773Hm2++SWxsLE2aNGH06NHk5BguVj958iS9e/dm6NChnDhxguDgYKKiopg+fXqJZiqKIt3WLIQQRXH48h3818VwQ5eJpZkJcwa1YFRHl8KdVXkc10Hg1BrWT4Drx2DdaHB/DXrOATOZaE48RXY6fF5Lnfd+9zpYVCqxl3/zzTfp378/AHPmzKFFixZcvHiRZs2a8eWXXzJmzJi861AaN25MQEAA3bp1Y9GiRUb12AI5wyKEKHG5eoX5v15g9LJD3NBl0rBGJTZP78KLnQp4vUpBVa0Hr+wEj//76/DQ97CiN9y7UnzvIUQZ07p167z/7+TkBBjmOgM4evQogYGBVK5cOW/p3bs3er2euLg4VfI+jpxhEUKUqFspmbwRHEvURcOjOIa1c+bTIS2wsSihf37MLKD3Z1DPCzZOM5xtWdwVBi8wnIUR4lHMbQxnOtR675J8efP/fxH6X38g6P/vKeh6vZ6pU6fi7+//0H516tQp0VyFJQWLEKLEHLx4G/91sdxOzcTa3JRPh7RkePsnz45dbJr2hWlRsOEVw3UtP/tCpynQ61MwN57T3MJIaDQlOixjrNq1a8epU6do1KiR2lGeSgoWIUSxy9UrzPv1AvP3XkBRoIljZRaOaUdjR9vSDVLFBSaEwd5P4cA8+G0pXDsEIwINdxgJUQYlJycTGxubb5u9vX2Rzoi8/fbbuLu74+fnx+TJk6lUqRJnzpxh9+7dzJ8//7H7/fX+qamp3Lp1i9jYWCwsLHB1dS10hoKSgkUIUaxu6DKYuS6GQ5fvAvBiRxc+GtgCawtTdQKZmkOvT6CeN2ycCkknYEk3GPgdtJK5n0TZs3//ftzc3PJtGzdu3CPnQXua1q1bEx4eznvvvYe3tzeKotCwYUNGjRr1xP3+/v5Hjx5l7dq11K1blytXrhQ6Q0FplILMBlcG6HQ6tFotycnJ2NnZqR1HiAop4vwt3giO5U5aFpUsTPl8aCsGt62tdqz/T3cdNkw0zI4L0H489PmvYfZcUaFkZGQQFxdH/fr1jepOmPLqSf+9C/r9LXcJCSGeWU6unv/9cpaxK37jTloWzZ3s2DrDy7iKFQC7WjBuK3T9N6CBo4HwQ0+4fUHtZEKIp5CCRQjxTBKTHzB62SG+338JgJfd67DxNU8a1KiscrLHMDWD598H31CoVANu/GEYIjoe/PR9hRCqkYJFCFFk+87epN+8SH6/co/KlmYsGOPGf4a0wspcpetVCqPh84a7iOp5Q3YabJwCm/wgK13tZEKIR5CCRQhRaNm5euaGnWFC4O/cS8+mVW0t2/29GNBapZlCi8q2JozdDM+9CxoTiP0JlnWHm2fUTiaE+AcpWIQQhfLnvXRGLolmScRlAMZ71mPDqx7UrVZG57AwMYXn3oaxW6CyI9w6C0u7Q8xPJf6MFyFEwUnBIoQosF2nkugfEEXMtfvYWZmx+OX2fDyoBZZmZWAI6Gnqe8O0A4ahopwHsNnPMFNuZqrayUQJKic3yhq94vjvLAWLEOKpsnL0zNl6iik/HiX5QTZtXKqw3d+bPi1rqh2teFWuAS+FwPMfGIaITqyDpc9B0h9qJxPFzNTUUGRnZWWpnKRiSE83XBv298cEFJZMHCeEeKJrd9KZHnSME38mAzDZuz7/7t0MC7Ny+veOiQl0fRPqehrmbLlzAX7oYZivpf14wxTuoswzMzPDxsaGW7duYW5ujolJOf19VpmiKKSnp3Pz5k2qVKmSVygWhUwcJ4R4rLCTiby94QQpmTlUsTHnq+Ft6OnqqHas0pN2BzZNgwu7DOsth8GA78BK/o0pD7KysoiLi8t7EKAoOVWqVKFmzZqPfDp7Qb+/pWARQjwkIzuXz7af4cdDVwFoX7cqAaPdqF2lAs4Iq9dD9Hz49RPQ54B9A8OziJzaqJ1MFAO9Xi/DQiXM3Nz8iWdWpGARQhRJ3O00pq89xqnrOgCmdWvIv3yaYG5awU+Zx/9mePJzcjyYWkDvz6HjJBkiEuIZydT8QohC23L8OgMCIjl1XYd9JQsCJ3Tknb7NpFgBcOkEUyOgaT/IzYKwN+HnsfDgvtrJhKgQ5F8hIQQZ2bnMDj2Jf1AMaVm5dKpvT5i/N881dVA7mnGxsYcX1xouwDUxhzNbYElXSDiqdjIhyj0pWISo4C7eTGXIwgME/XYNjQZmPN+ItZM6U1MrT7B9JI0G3F+FiTuhSl24fxWW94bo72WiOSFKkBQsQlRgocf+ZNCCKM4mpVC9siU/vtKZf/k0xUyGgJ6udnvDEFHzQaDPhp2zYd0YSL+rdjIhyiX5V0mICig9K4c31x9n1s/HSc/KxbNhNcJmeuHVuLra0coW6yowcjX0+8pwIe65MMMQUfxvaicTotyRgkWICub8jRQGLzjAhqN/YqKBN3o24ceJnXGwlSGgItFooNNkmLTHcMtzcjys7AsH5hluiRZCFAspWISoIBRF4eff4xm0IIoLN1NxsLVkzSR3ZvZsjKmJ3Jr7zJzawJRww+Ry+hzY/SEEjTJMPieEeGZSsAhRAaRl5vBGcCxvhZwgI1uPd+PqhM30xqNhNbWjlS9WdjBsuWE2XDMrwwy5i73g6kG1kwlR5knBIkQ5d/q6joHzo9gUex1TEw3/7t2UVRM6Ub2ypdrRyieNBjpMgEm/QrXGkHIdAgdAxFcyRCTEM5CCRYhySlEU1hy+ypDvD3D5dho17axYN8Udv+6NMJEhoJJXsyVM2Q+tXwQlF/Z+Cj8NhdRbaicTokySgkWIciglI5sZQTG8t/EPsnL0PN/MgbCZ3nSsZ692tIrFsjK8sBgGLwQza7i8DxZ3gbgItZMJUeYUumCJiIhg4MCB1KpVC41Gw6ZNm57Yfvz48Wg0moeWFi1a5LUJDAx8ZJuMjIxCd0iIiu6PhGQGzI9i24lEzEw0vNuvGT+M7YB9JQu1o1VMGg24vWw421KjGaTegNWDYf9/QZ+rdjohyoxCFyxpaWm0adOGBQsWFKj9vHnzSExMzFvi4+Oxt7dnxIgR+drZ2dnla5eYmIiVldxmKURBKYrCqoNXGPr9Qa7eSad2FWt+nubBlK4NZQjIGDg0g8n7DMWLoof9c+HHIZCSpHYyIcoEs8Lu0LdvX/r27Vvg9lqtFq1Wm7e+adMm7t27x4QJE/K102g01KxZs7BxhBBA8oNs3t5wgl9OGb78erk68tXwNmhtzFVOJvKxsDEMD9XrCtveMAwNLfaCoUuh4fNqpxPCqJX6NSzLly+nZ8+e1K1bN9/21NRU6tati7OzMwMGDCAmJuaJr5OZmYlOp8u3CFERxcbfp39AJL+cSsLcVMOHA1xZ6tteihVj1maUYYjIsSWk3YIfh8Kvn0JujtrJhDBapVqwJCYmsmPHDiZNmpRve7NmzQgMDGTLli0EBQVhZWVFly5duHDhwmNfa+7cuXlnb7RaLS4uLiUdXwijoigKP0ReZsTig/x57wEu9tZsmObJK1710WhkCMjo1WhimB23/QRAgcivYNVA0F1XO5kQRkmjKEV/vKhGo2Hjxo0MGTKkQO3nzp3L119/zfXr17GwePwFgHq9nnbt2tG1a1cCAgIe2SYzM5PMzMy8dZ1Oh4uLC8nJydjZ2RWqH0KUNffTs3hz/XH2nLkJQL9WNfnvsNbYWclZlTLp5AbY+jpkpYBNNXhhCTTupXYqIUqFTqdDq9U+9fu70NewFJWiKKxYsQJfX98nFisAJiYmdOzY8YlnWCwtLbG0lImvRMVz9OpdZqyN4XpyBhamJnwwoDkvu9eVsyplWavhUMsN1o+HpBOwZjh0mQnPfwCmUoQKAaU4JBQeHs7FixeZOHHiU9sqikJsbCxOTk6lkEyIskGvV1gcfomRSw5xPTmDetVsCH3NE1+PelKslAfVGsLE3dBpimH9wDwI7A/349XNJYSRKPQZltTUVC5evJi3HhcXR2xsLPb29tSpU4fZs2eTkJDA6tWr8+23fPlyOnfuTMuWLR96zTlz5uDu7k7jxo3R6XQEBAQQGxvLwoULi9AlIcqfO6mZ/Gv9cfafM8ySOqhNLT4f2orKlqV2klSUBnMr6Pcl1POCzTMg/rDhLqIXFkPTgt+dKUR5VOh/7Y4cOUL37t3z1mfNmgXAuHHjCAwMJDExkWvXruXbJzk5mZCQEObNm/fI17x//z5TpkwhKSkJrVaLm5sbERERdOrUqbDxhCh3fou7y4ygY9zQZWJpZsLHg1rwYkcXOatSnrkONjz9ef0EuH4Mgl4Ej+nQ4yMwkwkARcX0TBfdGpOCXrQjRFmh1yt8v/8i3+w+j16BhjUqsfCldjSrKb/fFUZOFuz5GA7939nm2u1h+AqoWk/NVEIUq4J+f8uzhIQwQrdSMhm38je+2mUoVoa2q82W6V5SrFQ0ZhbQ53N4MQisqkDCUVjcFU5vUTuZEKVOChYhjMzBi7fpFxBJ5IXbWJub8uXw1nwzsi2V5HqViqtZP5gWCc6dIDMZfvaFsH9DTubT9xWinJCCRQgjkatX+Hb3eV5afphbKZk0cazMluldGNFBJkUUQJU6MCHMcLszwG9LYXkvuHNJ3VxClBIpWIQwAjd1Gbz0wyHm/XoBRYFRHVzY7OdFY0dbtaMJY2JqDr0+gTHrwdoeEo/Dkm7wR6jayYQocVKwCKGyiPO36DsvkkOX72JjYcp3o9ryxfDWWFuYqh1NGKsmPjAtCup4GGbH3TDBMFNu9gO1kwlRYqRgEUIlObl6vtx5lnErf+NOWhbNatqydYYXQ9xqqx1NlAXa2jBuG3i/CWjg6Er4oSfcfvwM4UKUZVKwCKGCxOQHjFl2mIX7LqEo8FLnOmzy60LDGpXVjibKElMz6PEB+IaCTXW48YdhiOjEz2onE6LYScEiRCnbd/Ym/eZF8tuVu1S2NGP+aDc+e6EVVuYyBCSKqOHz8OoBqOcN2WkQOhk2T4esdLWTCVFspGARopRk5+qZG3aGCYG/cy89m5a17dg2w4uBbWqpHU2UB7Y1YexmeG42oIGYH2HZ83DzrNrJhCgWUrAIUQoS7j9g1JJolkRcBmC8Zz1CXvWkXvVKKicT5YqJKTz3DozbApUd4dYZWNYdYtaonUyIZyYFixAlbPfpG/SbF8mxa/extTJj8cvt+HhQCyzNZAhIlJD6XQ13ETXoDtnpsPk12DgNMlPVTiZEkUnBIkQJycrR88nW00xefYTkB9m0cdYS5u9Nn5ZOakcTFUFlB3g5FJ7/ADQmcDzIcLblxim1kwlRJFKwCFEC4u+mM2LxQVYciANgkld91k/zxMXeRuVkokIxMYGub8L47WBbC26fN1zXcjQQysdzb0UFIgWLEMVsx8lE+gVEcvzPZLTW5vwwtgPvD3DFwkwON6GSup6GIaJGvSAnA7bOhJCJkKFTO5kQBSb/ggpRTDKyc/lw8x+8uuYYKRk5tKtThbCZ3vR0dVQ7mhBQqRqM+dkwtb/GFP4IgaXdDNP7C1EGSMEiRDG4cjuNYYsOsjr6KgBTuzUgeKoHtatYq5xMiL8xMTE8PPGVX8DOGe5eNsyO+9syGSISRk8KFiGe0Zbj1xkwP4pT13XYV7Jg5YSOzO7bHHNTObyEkXLpBNMioWk/yM2CsDdh/TjISFY7mRCPJf+iClFEGdm5zA49iX9QDKmZOXSqZ0+YvzfdmzqoHU2Ip7OxhxfXQu+5YGIOpzfDYm9IOKZ2MiEeSQoWIYrg0q1Uhiw8QNBv19BoYMbzjVg7uTM1tVZqRxOi4DQa8HgNJu6EKnXg/lVY7gOHFskQkTA6UrAIUUgbY/5k4PwozialUL2yBatf6cS/fJpiJkNAoqyq3R6mRkLzgaDPhl/egeCX4cE9tZMJkUf+hRWigB5k5fLv9cd5I/g46Vm5eDSoRpi/N96Na6gdTYhnZ10FRv4I/b4CUws4uw0Wd4X439VOJgQgBYsQBXL+RgqDFkSx/uifmGjgjZ5N+GlSZxzsZAhIlCMaDXSaDBN3Q9X6kHwNVvaBAwGg16udTlRwUrAI8QSKovDzkXgGLYjiws1UathasmaSOzN7NsbURKN2PCFKRq22MDUCWgwFfQ7s/gCCXoS0O2onExWYFCxCPEZaZg6zfj7OWxtOkJGtx7txdXbM9MajYTW1owlR8qzsYPgKGPAdmFrChZ2wxBuuRqudTFRQUrAI8QhnEnUMXBDFxpgETDTw795NWTWhE9UrW6odTYjSo9FAhwkweS9UawS6BAjsD5FfyxCRKHVSsAjxN4qisPbwNQYvPMDlW2nUtLNi3RQP/Lo3wkSGgERFVbMlTAmH1qNAyYVfP4E1wyD1ltrJRAUiBYsQ/yclIxv/dbG8u/EkWTl6ujetQdhMbzrVt1c7mhDqs6wMLyyBQQvAzBou7YXFXhAXqXYyUUFIwSIE8EdCMgPnR7H1+HXMTDTM7tuM5eM6Yl/JQu1oQhgPjQba+cKUfVCjGaQmwepBsP8L0OeqnU6Uc1KwiApNURRWR19h6PcHuXInndpVrAme6sHUbg1lCEiIx3Fobriupe3LoOhh/+fw4xBIuaF2MlGOScEiKqzkB9m8tuYYH24+RVaunp7NHdnu70X7ulXVjiaE8bOoBEMWGoaJzCtBXIRhiOjSPrWTiXJKChZRIR2Pv8+A+ZHs+CMJc1MNHw5wZdnY9lSxkSEgIQqlzYswZT84tIC0m/DjC7D3P5Cbo3YyUc4UumCJiIhg4MCB1KpVC41Gw6ZNm57Yfv/+/Wg0moeWs2fP5msXEhKCq6srlpaWuLq6snHjxsJGE+KpFEVheVQcwxcfJP7uA1zsrdkwzZNXvOqj0cgQkBBFUqMJTP4V2o8HFIj40nBti+662slEOVLogiUtLY02bdqwYMGCQu137tw5EhMT85bGjRvn/Sw6OppRo0bh6+vL8ePH8fX1ZeTIkRw+fLiw8YR4rPvpWUxefZRPt50mO1ehb8uabJvhTRuXKmpHE6LsM7eGgfNg2HKwqAxXDxiGiC7sUTuZKCc0ilL0Z4hrNBo2btzIkCFDHttm//79dO/enXv37lGlSpVHthk1ahQ6nY4dO3bkbevTpw9Vq1YlKCioQFl0Oh1arZbk5GTs7OwK0w1RARy9eg//oBgS7j/AwtSE9wc0x9e9rpxVEaIk3LkE68dD0gnDepfX4fn3wdRczVTCSBX0+7vUrmFxc3PDycmJHj16sG9f/ouyoqOj8fHxybetd+/eHDx48LGvl5mZiU6ny7cI8U96vcKS8EuMWhJNwv0H1KtmQ+hrnoz1qCfFihAlpVpDwwMUO042rB/4zjBDbvKfqsYSZVuJFyxOTk4sXbqUkJAQQkNDadq0KT169CAiIiKvTVJSEo6Ojvn2c3R0JCkp6bGvO3fuXLRabd7i4uJSYn0QZdPdtCwmrvqduTvOkqNXGNimFltneNGytlbtaEKUf+ZW0P8rGLEKLO0g/rBhiOjcjqfvK8QjmJX0GzRt2pSmTZvmrXt4eBAfH89XX31F165d87b/869dRVGe+Bfw7NmzmTVrVt66TqeTokXk+S3uLv5BMSTpMrA0M+GjgS0Y3clFzqoIUdpaDAGnNrBhAlyPMTz12WM69PgIzOSuPFFwqtzW7O7uzoULF/LWa9as+dDZlJs3bz501uXvLC0tsbOzy7cIodcrLNx3kdHLDpGky6BBjUps8uvCmM51pFgRQi329eGVXeD+mmE9egGs7AP3rqqbS5QpqhQsMTExODk55a17eHiwe/fufG127dqFp6dnaUcTZdjt1EzGrfyNL3eeI1evMNStNlune9HcSYpZIVRnZgF95sKLa8FKCwlHYYk3nNmqdjJRRhR6SCg1NZWLFy/mrcfFxREbG4u9vT116tRh9uzZJCQksHr1agC+++476tWrR4sWLcjKyuKnn34iJCSEkJCQvNeYOXMmXbt25YsvvmDw4MFs3ryZPXv2EBUVVQxdFBXBwUu3mbkullspmViZm/DJ4JaMaO8sZ1WEMDbN+sO0KNjwCvz5OwS/DJ2mgs+nYGapdjphxApdsBw5coTu3bvnrf91Hcm4ceMIDAwkMTGRa9eu5f08KyuLN998k4SEBKytrWnRogXbt2+nX79+eW08PT1Zt24d77//Ph988AENGzYkODiYzp07P0vfRAWQq1eYv/cCAb9eQK9AY4fKfP9SOxo72qodTQjxOFXqwIQd8OsncDAAfltiuCh3xEqwb6B2OmGknmkeFmMi87BUPDd1GbweHMvBS3cAGNnBmTmDWmJtYapyMiFEgZ3fCRunwYO7hruJBgVAixfUTiVKkdHNwyJEcYq8cIt+AZEcvHQHGwtTvh3Vhv8NbyPFihBlTZPehiGiOh6QqTNMOLdtFmRnqJ1MGBkpWESZkpOr56ud5xi74jdup2bRrKYtW6Z78YKbs9rRhBBFpa0N47aB978ADRxZDj/0hNsXn7qrqDikYBFlRmLyA8YsO8yCfRdRFBjTuQ6b/LrQyKGy2tGEEM/K1Ax6fAgvh4BNdbhxEpZ2gxPr1U4mjIQULKJM2HfuJv3mRfLblbtUtjQjYLQbn7/QCitzGQISolxp1MMwRFTPG7JSIXQSbJ4OWelqJxMqk4JFGLXsXD1zd5xhwsrfuZeeTcvadmyb4cWgNrXUjiaEKCl2TjB2M3R7B9BAzI/wQw+4dU7tZEJFUrAIo5Vw/wGjlkSzJPwyAOM86hLyqif1qldSOZkQosSZmEL32YbCpbIj3DwNS5+D2LVqJxMqkYJFGKXdp2/Qb14kx67dx9bKjEUvtWPO4JZYmskQkBAVSoNuhiGiBs9BdjpsetVwG3RWmtrJRCmTgkUYlawcPZ9uO83k1UdIfpBNG2ctYf7e9G3l9PSdhRDlU2UHeHkjPP8+aEzgeJDhbMuNU2onE6VIChZhNOLvpjNiSTTLo+IAmOhVn/XTPHGxt1E5mRBCdSYm0PXfhtufbZ3g9nlY9jwcXQXlY/5T8RRSsAij8MsfifQLiOR4/H201uYsG9uBDwa4YmEmv6JCiL+p18UwRNSoJ+RkwFZ/CJ0MmSlqJxMlTL4NhKoyc3L5aPMfTPvpGCkZObSrU4Xt/l70cnVUO5oQwlhVqg5j1kPPOaAxhZPrYUk3SDyhdjJRgqRgEaq5cjuNYYsOsir6KgBTuzUgeKoHzlVlCEgI8RQmJuD1uuEhinbOcPeSYXbc33+QIaJySgoWoYqtx68zYH4UfyToqGpjzsrxHZndtznmpvIrKYQohDqdYVokNOkLuZmw/V+G5xFlJKudTBQz+XYQpSojO5d3N55kRlAMqZk5dKxXlbCZ3nRv5qB2NCFEWWVjD6ODoPfnYGIGpzfBkq6QcEztZKIYScEiSs2lW6kMWXiAtYevodHA9O6NCJrsjpPWWu1oQoiyTqMBDz94ZRdUqQP3rsByHzi0WIaIygkpWESp2BjzJwPnR3E2KYXqlS1Y/Uon3uzdFDMZAhJCFCfn9jA1EpoPBH02/PI2BL8MD+6pnUw8I/m2ECXqQVYub204zhvBx0nPysWjQTXC/L3xblxD7WhCiPLKugqM/BH6fgmmFnB2GyzuCn8eUTuZeAZSsIgSc+FGCoMXRvHzkT/RaOD1no35aVJnHOys1I4mhCjvNBroPAUm7oKq9SH5GqzoDQfnyxBRGSUFiygR64/EM3BBFOdvpFLD1pI1kzrzes8mmJpo1I4mhKhIarnB1Aho8QLoc2DX+xD0IqTfVTuZKCQpWESxSsvMYdbPsfx7wwkysvV4N65OmL83ng2rqx1NCFFRWdnB8JUw4FswtYTzv8BiL7h2SO1kohCkYBHF5mySjkELogg9loCJBv7duymrJnSihq2l2tGEEBWdRgMdXoHJv0K1RqBLgJX9IPIb0OvVTicKQAoW8cwURSHot2sMXnCAS7fSqGlnxbopHvh1b4SJDAEJIYxJzVYwZT+0GglKLvw6B9aOgLTbaicTTyEFi3gmKRnZ+K+LZXboSTJz9DzXtAZhM73pVN9e7WhCCPFolrYwdCkMWgBm1nBxj2GI6EqU2snEE0jBIorsj4RkBs6PYuvx65iaaJjdtxkrxnXEvpKF2tGEEOLJNBpo5wuT90L1ppCSCKsGQvj/QJ+rdjrxCFKwiEJTFIUfo68w9PuDXLmTTu0q1vw81YOp3RrKEJAQomxxdIUp+6Dty6DoYd9n8OMLkHJD7WTiH6RgEYWiy8jGb+0xPth8iqxcPT2bO7Ld34v2dauqHU0IIYrGohIMWQgvLAFzG4gLNwwRXd6vdjLxN1KwiAI7Hn+f/gGRhJ1MwtxUwwcDXFk2tj1VbGQISAhRDrR5EaaEg0MLSLsJq4fA3s9kiMhISMEinkpRFFZExTF88UHi7z7Auao1G6Z5MtGrPhqNDAEJIcqRGk0Mtz63GwcoEPE/WDUIdIlqJ6vwpGART3Q/PYspPx7lk22nyc5V6NOiJtv9vWnjUkXtaEIIUTLMrWFQAAxbDhaV4WoULO5iuJtIqEYKFvFYx67do39AFLtP38DC1IRPBrdg0cvt0Fqbqx1NCCFKXqvhhmn9a7aC9Dvw0zDY8zHk5qidrEKSgkU8RK9XWBpxiZGLo0m4/4C61WwIfc2TsR71ZAhICFGxVGsIE/dAx0mG9ahvIbA/JP+pbq4KqNAFS0REBAMHDqRWrVpoNBo2bdr0xPahoaH06tWLGjVqYGdnh4eHBzt37szXJjAwEI1G89CSkZFR2HjiGd1Ny2LS6iN8HnaWHL3CgNZObJvhRcvaWrWjCSGEOsytoP/XMGIVWNpB/CHDXUTndz59X1FsCl2wpKWl0aZNGxYsWFCg9hEREfTq1YuwsDCOHj1K9+7dGThwIDExMfna2dnZkZiYmG+xsrIqbDzxDH6/cpd+8yLZe/YmFmYmfP5CK+aPdsPWSoaAhBCCFkMMQ0S13ODBPVg7Ena+B7nZaierEMwKu0Pfvn3p27dvgdt/9913+dY///xzNm/ezNatW3Fzc8vbrtFoqFmzZmHjiGKg1yssCr/EN7vPk6tXaFCjEgvHtKO5k53a0YQQwrjY14dXdhquZTn0PUQvMDz1efgKqFpX7XTlWqlfw6LX60lJScHePv+zZlJTU6lbty7Ozs4MGDDgoTMw/5SZmYlOp8u3iMK7nZrJuJW/8eXOc+TqFV5wq83W6V5SrAghxOOYWUKfufDiWrDSQsIRWOINZ7apnaxcK/WC5euvvyYtLY2RI0fmbWvWrBmBgYFs2bKFoKAgrKys6NKlCxcuXHjs68ydOxetVpu3uLi4lEb8ciX60h36zYsk8sJtrMxN+N/w1nwzsg2VLAt94k0IISqeZv1hWhQ4d4SMZAh+CXa8AzmZaicrlzSKoihF3lmjYePGjQwZMqRA7YOCgpg0aRKbN2+mZ8+ej22n1+tp164dXbt2JSAg4JFtMjMzycz8/78UOp0OFxcXkpOTsbOTswNPkqtXWLD3IvN+PY9egcYOlVn4UjuaONqqHU0IIcqe3Gz4dQ4cnG9Yd2oLI1aCfQNVY5UVOp0OrVb71O/vUvtTOjg4mIkTJ7J+/fonFisAJiYmdOzY8YlnWCwtLbG0tCzumOXezZQMXl8Xy8FLdwAY0d6ZOYNbYGMhZ1WEEKJITM3B5z9Qzxs2ToPEWFjSzTD5XIsX1E5XbpTKkFBQUBDjx49n7dq19O/f/6ntFUUhNjYWJyenUkhXcURduE2/eZEcvHQHGwtTvhnZhi9HtJFiRQghikOT3oYhIhd3yNTB+vGwbRZkyxQdxaHQ31SpqalcvHgxbz0uLo7Y2Fjs7e2pU6cOs2fPJiEhgdWrVwOGYmXs2LHMmzcPd3d3kpKSALC2tkarNcztMWfOHNzd3WncuDE6nY6AgABiY2NZuHBhcfSxwsvJ1TPv1wss2HcRRYFmNW1ZMKYdjRwqqx1NCCHKF21tGL8d9n0GUd/AkeXw52+GOVyqNVQ7XZlW6DMsR44cwc3NLe+W5FmzZuHm5saHH34IQGJiIteuXctrv2TJEnJycvDz88PJySlvmTlzZl6b+/fvM2XKFJo3b46Pjw8JCQlERETQqVOnZ+1fhZeUnMGYHw4zf6+hWBndqQ6b/LpIsSKEECXF1Ax6fgQvh4BNdUg6CUu6wskNaicr057poltjUtCLdiqS/eduMuvn49xNy6KShSlzh7VmUJtaascSQoiKQ5cIoZPhSqRhvd1Y6Ps/wwMWBVDw7295llA5lJ2r5787zjJ+5e/cTcuiRS07tvl7S7EihBClzc4Jxm6Gbm8DGji2GpY9D7fOqZ2szJGCpZxJuP+AF5ceYnH4JQDGetQl5FVP6levpHIyIYSooExMofu7MHYTVHKAm6dh6XMQG6R2sjJFCpZyZM/pG/QPiOTo1XvYWpmx6KV2fDK4JVbmpmpHE0II0eA5ePWA4X+z02HTNNj0GmSlqZ2sTJCCpRzIytHzn22nmbT6CPfTs2njrGX7DG/6tpLbwoUQwqhUdoCXQ6H7+6Axgdg1sLQ73DitdjKjJwVLGRd/N50RS6L5ISoOgFe61Gf9NE/qVLNROZkQQohHMjGFbv+GcVvB1glunzNc13JsNZSP+2BKhBQsZdgvfyTRLyCS4/H3sbMyY6lvez4c6IqFmXysQghh9Op5GSaaa9QTch7AlhkQOgUyU9ROZpTkm60MyszJ5eMtp5j201FSMnJwq1OFsJne+LSoqXY0IYQQhVGpOoxZDz0/Bo0pnPzZcEFu0km1kxkdKVjKmKt30hi+KJrAg1cAmNq1AT9P9cC5qgwBCSFEmWRiAl5vwIQwsKsNdy7Csh7w+3IZIvobKVjKkG0nrtM/IIqTCclUtTFnxfgOzO7XHHNT+RiFEKLMq+NuGCJq0gdyM2H7LNgwATKS1U5mFOSbrgzIyM7lvY0nmb42htTMHDrWq0rYTG+eb+aodjQhhBDFycYeRq8Dn8/AxAxObTQ8+fl6jNrJVCcFi5G7dCuVIQsPsObwNTQa8OvekKDJ7jhpZVpnIYQolzQa8JwOr+wEbR24FwfLfeDwkgo9RCQFixHbFJPAwPlRnE1KoVolC1ZN6MS/ezfDTIaAhBCi/HPuANMioNkAyM2CHW9B8Mvw4J7ayVQh33xG6EFWLm9vOMHrwbGkZ+Xi3sCeHTO96dqkhtrRhBBClCbrqjDqJ8MDE00t4Ow2w5Of/zyqdrJSJwWLkblwI4XBC6MIPhKPRgMzezRmzSR3HOys1I4mhBBCDRoNdJ4KE3dB1Xpw/xqs8IGDCyrUEJEULEZk/ZF4Bi04wPkbqdSwtWTNxM680asJpiYataMJIYRQWy03mBoBLV4AfQ7seg+CRkP6XbWTlQopWIxAWmYOs36O5d8bTvAgOxevRtUJ8/fGs1F1taMJIYQwJlZaGL4S+n8DppZwfgcs9oZrh9VOVuKkYFHZ2SQdgxZEEXosARMNvOnThNWvdKKGraXa0YQQQhgjjQY6ToRJe8C+Iej+hJV9Iepb0OvVTldipGBRiaIorPvtGoMXHODSrTQc7SwJmuzO9OcbYyJDQEIIIZ7GqTVMDYdWI0DJhT0fw9qRkHZb7WQlQgoWFaRm5jBzXSzvhJ4kM0dPtyY1CPP3pnODampHE0IIUZZY2sLQZTBoPphZwcXdsNgLrhxQO1mxk4KllJ26nszA+VFsOX4dUxMN7/RtxsrxHalWWYaAhBBCFIFGA+3GwuR9UL0ppCTCqgEQ/iXoc9VOV2ykYCkliqLwY/QVXvj+IHG306ilteLnqe5M69ZQhoCEEEI8O0dXmLIP2owBRQ/7/gM/DYXUm2onKxZSsJQCXUY2fmuP8cHmU2Tl6OnZ3IHt/t60r2uvdjQhhBDliUUleGERDFkE5jZweT8s6gKXw9VO9sykYClhJ/68z4CAKMJOJmFuquH9/s1ZNrYDVStZqB1NCCFEedV2DEzZDw6ukHYTVg+GfZ+X6SEiKVhKiKIorIiKY9iig1y7m45zVWvWT/NkkncDNBoZAhJCCFHCajSFyXuh3ThAgfAvDIWLLlHtZEUiBUsJSE7PZuqPR/lk22mycxX6tKjJdn9v2rpUUTuaEEKIisTcGgYFwNAfwKIyXIk03EV08Ve1kxWaFCzFLObaPfoFRLLr9A0sTE2YM6gFi15uh9baXO1oQgghKqrWI2BKODi2gvTbhotx98yB3By1kxWYFCzFRK9XWBZxmRGLo0m4/4C61WwIedWTcZ71ZAhICCGE+qo3MsyO23GSYT3qG8Ptz8kJ6uYqIClYisG9tCwmrT7CZ2FnyNEr9G/txLYZXrRy1qodTQghhPj/zK2g/9cwIhAs7eBatGGI6PwutZM9lRQsz+jIlbv0C4hk79mbWJiZ8NkLLVkw2g1bKxkCEkIIYaRavGCY1t+pLTy4C2tHwK4PIDdb7WSPJQVLEen1Ct/vv8iopYdITM6gQfVKbHqtCy91ritDQEIIIYyffQOYuAs6TzOsHwwwPETx/jV1cz2GFCxFcDs1k/GBv/O/X86Rq1cY0rYWW2Z44VrLTu1oQgghRMGZWULfL2DUGrDSwp+/G4aIzm5XO9lDCl2wREREMHDgQGrVqoVGo2HTpk1P3Sc8PJz27dtjZWVFgwYNWLx48UNtQkJCcHV1xdLSEldXVzZu3FjYaKXi0OU79JsXScT5W1iZm/C/Ya35dlRbKluaqR1NCCGEKJrmA2BqJNTuABnJsG4M7HgHcrLUTpan0AVLWloabdq0YcGCBQVqHxcXR79+/fD29iYmJoZ3330Xf39/QkJC8tpER0czatQofH19OX78OL6+vowcOZLDhw8XNl6JydUrzNtzgTHLDnEzJZNGDpXZMt2LkR1dZAhICCFE2Ve1LkzYAR7TDeuHF8EKH7gbp26u/6NRFEUp8s4aDRs3bmTIkCGPbfP222+zZcsWzpw5k7dt2rRpHD9+nOjoaABGjRqFTqdjx44deW369OlD1apVCQoKKlAWnU6HVqslOTkZO7viHZq5mZLBG8GxHLh4B4AR7Z2ZM7gFNhZyVkUIIUQ5dO4X2DQNHtwz3E00aD60GFIib1XQ7+8Sv4YlOjoaHx+ffNt69+7NkSNHyM7OfmKbgwcPPvZ1MzMz0el0+ZaScODibfrNi+LAxTtYm5vyzcg2fDmijRQrQgghyq+mfWBaFLi4Q6YO1o+D7f+C7AzVIpV4wZKUlISjo2O+bY6OjuTk5HD79u0ntklKSnrs686dOxetVpu3uLi4FHv2B1m5zFwXy+3UTJrVtGXrDC+GtnMu9vcRQgghjI7WGcZvA69ZhvXff4CTP6sWp1TuEvrnNR5/jUL9ffuj2jzp2pDZs2eTnJyct8THxxdjYgNrC1O+HtmG0Z3qsMmvC40cKhf7ewghhBBGy9Qcen4EL4dAm9HQ9mXVopT4uEbNmjUfOlNy8+ZNzMzMqFat2hPb/POsy99ZWlpiaWlZ/IH/oVuTGnRrUqPE30cIIYQwWo16GhYVlfgZFg8PD3bv3p1v265du+jQoQPm5uZPbOPp6VnS8YQQQghRBhT6DEtqaioXL17MW4+LiyM2NhZ7e3vq1KnD7NmzSUhIYPXq1YDhjqAFCxYwa9YsJk+eTHR0NMuXL89398/MmTPp2rUrX3zxBYMHD2bz5s3s2bOHqKioYuiiEEIIIcq6Qp9hOXLkCG5ubri5uQEwa9Ys3Nzc+PDDDwFITEzk2rX/P61v/fr1CQsLY//+/bRt25ZPP/2UgIAAhg0bltfG09OTdevWsXLlSlq3bk1gYCDBwcF07tz5WfsnhBBCiHLgmeZhMSYlOQ+LEEIIIUqG0czDIoQQQgjxrKRgEUIIIYTRk4JFCCGEEEZPChYhhBBCGD0pWIQQQghh9KRgEUIIIYTRk4JFCCGEEEZPChYhhBBCGD0pWIQQQghh9Er8ac2l5a8Je3U6ncpJhBBCCFFQf31vP23i/XJTsKSkpADg4uKichIhhBBCFFZKSgparfaxPy83zxLS6/Vcv34dW1tbNBpNsb2uTqfDxcWF+Pj4cvuMovLeR+lf2Vfe+yj9K/vKex9Lsn+KopCSkkKtWrUwMXn8lSrl5gyLiYkJzs7OJfb6dnZ25fKX8O/Kex+lf2Vfee+j9K/sK+99LKn+PenMyl/kolshhBBCGD0pWIQQQghh9KRgeQpLS0s++ugjLC0t1Y5SYsp7H6V/ZV9576P0r+wr7300hv6Vm4tuhRBCCFF+yRkWIYQQQhg9KViEEEIIYfSkYBFCCCGE0ZOCRQghhBBGr0IWLN9//z3169fHysqK9u3bExkZ+cT24eHhtG/fHisrKxo0aMDixYsfahMSEoKrqyuWlpa4urqycePGkor/VIXpX2hoKL169aJGjRrY2dnh4eHBzp0787UJDAxEo9E8tGRkZJR0Vx6pMP3bv3//I7OfPXs2Xztj+vygcH0cP378I/vYokWLvDbG9BlGREQwcOBAatWqhUajYdOmTU/dpywdg4XtX1k8Bgvbx7J2HBa2f2XtGJw7dy4dO3bE1tYWBwcHhgwZwrlz5566n9rHYYUrWIKDg3n99dd57733iImJwdvbm759+3Lt2rVHto+Li6Nfv354e3sTExPDu+++i7+/PyEhIXltoqOjGTVqFL6+vhw/fhxfX19GjhzJ4cOHS6tbeQrbv4iICHr16kVYWBhHjx6le/fuDBw4kJiYmHzt7OzsSExMzLdYWVmVRpfyKWz//nLu3Ll82Rs3bpz3M2P6/KDwfZw3b16+vsXHx2Nvb8+IESPytTOWzzAtLY02bdqwYMGCArUva8dgYftX1o5BKHwf/1JWjsPC9q+sHYPh4eH4+flx6NAhdu/eTU5ODj4+PqSlpT12H6M4DpUKplOnTsq0adPybWvWrJnyzjvvPLL9W2+9pTRr1izftqlTpyru7u556yNHjlT69OmTr03v3r2VF198sZhSF1xh+/corq6uypw5c/LWV65cqWi12uKK+EwK2799+/YpgHLv3r3HvqYxfX6K8uyf4caNGxWNRqNcuXIlb5sxfYZ/BygbN258Ypuydgz+XUH69yjGfAz+U0H6WBaPw78U5TMsS8egoijKzZs3FUAJDw9/bBtjOA4r1BmWrKwsjh49io+PT77tPj4+HDx48JH7REdHP9S+d+/eHDlyhOzs7Ce2edxrlpSi9O+f9Ho9KSkp2Nvb59uemppK3bp1cXZ2ZsCAAQ/99VcanqV/bm5uODk50aNHD/bt25fvZ8by+UHxfIbLly+nZ8+e1K1bN992Y/gMi6IsHYPFwZiPwWdVVo7DZ1XWjsHk5GSAh37n/s4YjsMKVbDcvn2b3NxcHB0d8213dHQkKSnpkfskJSU9sn1OTg63b99+YpvHvWZJKUr//unrr78mLS2NkSNH5m1r1qwZgYGBbNmyhaCgIKysrOjSpQsXLlwo1vxPU5T+OTk5sXTpUkJCQggNDaVp06b06NGDiIiIvDbG8vnBs3+GiYmJ7Nixg0mTJuXbbiyfYVGUpWOwOBjzMVhUZe04fBZl7RhUFIVZs2bh5eVFy5YtH9vOGI7DcvO05sLQaDT51hVFeWjb09r/c3thX7MkFTVLUFAQH3/8MZs3b8bBwSFvu7u7O+7u7nnrXbp0oV27dsyfP5+AgIDiC15Ahelf06ZNadq0ad66h4cH8fHxfPXVV3Tt2rVIr1kaiponMDCQKlWqMGTIkHzbje0zLKyydgwWVVk5BgurrB6HRVHWjsHp06dz4sQJoqKintpW7eOwQp1hqV69Oqampg9Vezdv3nyoKvxLzZo1H9nezMyMatWqPbHN416zpBSlf38JDg5m4sSJ/Pzzz/Ts2fOJbU1MTOjYsWOp/2XwLP37O3d393zZjeXzg2fro6IorFixAl9fXywsLJ7YVq3PsCjK0jH4LMrCMVicjPk4LKqydgzOmDGDLVu2sG/fPpydnZ/Y1hiOwwpVsFhYWNC+fXt2796db/vu3bvx9PR85D4eHh4Ptd+1axcdOnTA3Nz8iW0e95olpSj9A8NfdePHj2ft2rX079//qe+jKAqxsbE4OTk9c+bCKGr//ikmJiZfdmP5/ODZ+hgeHs7FixeZOHHiU99Hrc+wKMrSMVhUZeUYLE7GfBwWVVk5BhVFYfr06YSGhrJ3717q16//1H2M4jgslkt3y5B169Yp5ubmyvLly5XTp08rr7/+ulKpUqW8q7nfeecdxdfXN6/95cuXFRsbG+WNN95QTp8+rSxfvlwxNzdXNmzYkNfmwIEDiqmpqfLf//5XOXPmjPLf//5XMTMzUw4dOmT0/Vu7dq1iZmamLFy4UElMTMxb7t+/n9fm448/Vn755Rfl0qVLSkxMjDJhwgTFzMxMOXz4sNH379tvv1U2btyonD9/Xvnjjz+Ud955RwGUkJCQvDbG9PkpSuH7+JeXX35Z6dy58yNf05g+w5SUFCUmJkaJiYlRAOWbb75RYmJilKtXryqKUvaPwcL2r6wdg4pS+D6WteOwsP37S1k5Bl999VVFq9Uq+/fvz/c7l56entfGGI/DClewKIqiLFy4UKlbt65iYWGhtGvXLt+tXOPGjVO6deuWr/3+/fsVNzc3xcLCQqlXr56yaNGih15z/fr1StOmTRVzc3OlWbNm+Q7E0laY/nXr1k0BHlrGjRuX1+b1119X6tSpo1hYWCg1atRQfHx8lIMHD5Zij/IrTP+++OILpWHDhoqVlZVStWpVxcvLS9m+fftDr2lMn5+iFP539P79+4q1tbWydOnSR76eMX2Gf93i+rjfubJ+DBa2f2XxGCxsH8vacViU39GydAw+qm+AsnLlyrw2xngcav4vvBBCCCGE0apQ17AIIYQQomySgkUIIYQQRk8KFiGEEEIYPSlYhBBCCGH0pGARQgghhNGTgkUIIYQQRk8KFiGEEEIYPSlYhBBCCGH0pGARQgghhNGTgkUIIYQQRk8KFiGEEEIYPSlYhBBCCGH0/h9ucBj1gp+YrwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "line_up,= ax.plot([1, 2, 3], label='Line 2')\n",
    "line_down, = ax.plot([3, 2, 1], label='Line 1')\n",
    "ax.legend(handles=[line_up,line_down])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### line_up,= ax.plot([1, 2, 3], label='Line 2'),将单元素列表解析为元素，plot方法返回一个列表"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2317c3bf9c8>"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "line_up,= ax.plot([1, 2, 3], label='Line 2')\n",
    "line_down, = ax.plot([3, 2, 1], label='Line 1')\n",
    "ax.legend(loc=\"upper left\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2317c45da48>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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1EbjvUSjdxCqStnI0RP5mlUAuXM3u6JQP2frXeV6dGcaBs9foUr0ob7atyD3ZtD6NXVLVRy8igUA1YHMyq+uIyA4RWSQilR3LigBHk2xzzLEsuffuLyKhIhJ69uzZ1ISlUitHfnj4W3j0B7h2Dr5sAsvegrjrdkemvNy1G/GMnLuTrpM3EhOXyLTeNfnfI/dpkreZ06NuRCQHEAIMMcZcvmn1NqCEMeaqiLQGfgNSNUuGMWYKMAWsycFTs6+6QxXbQmB9WPoGrP8Yds2H9p9CYD27I1NeaM3es7w2K5wTl67Ts3YJXmlZgRyZdWCfJ3CqRS8iGbGS/A/GmFk3rzfGXDbGXHU8XwhkFJEA4DhQLMmmRR3LlKfIeo/VddNzDiTGw7etYf6LEHPzd7lSybsYHcvLv+6g59Q/yJzRj1+ersPbHapokvcgKf4mxLo0/jWwyxjz4S22uRc4bYwxIlIT6wskCrgIlBWRklgJvhvwmItiV65UqpGjSNq7sGmSVSSt7UdQrrndkSkPtij8JG/O2cmF6FgGNS7Nc020CJkncuYrtx7QAwgXke2OZa8DxQGMMZOBrsAAEYkHrgPdjDEGiBeRZ4ElQAZgqjFmp2t/BOUymbJDyzFQuZNVRuHHh6HqI9ByHGTPZ3d0yoOcuRLDiDk7WRRxisqFczGt9wNULpzb7rDULYiVjz1LcHCwCQ0NtTuM9C3+hjVH7dr/QZZ7oPV4qNxZyyikc8YYZm49xugFu7gel8CQpmXp16CUFiHzACKy1RgTnNw67URTyfPPDI1fh4rtrdb9zN4QPhPafAi5dCx0enT0fDSvzw5n7b5zPBCYh3FdgiidP4fdYSknaKJXt3dvFejzu9Vvv/JdmFgLmr8D1Xtq6z6dSEw0TN94mPFL9iDAqA6VeaJWCfy0CJnX0ESvUpbBH+o9DxXawNznYd7zEDHTKpKWt5Td0Sk32n/mCkNDwtn61wUalsvPmE5VKJpH69N4G+1YU87LVxp6zYO2E+D4nzCpLmz4TIuk+aC4hEQmrtxP64/XceDsVf738H1Me+oBTfJeSlv0KnX8/CC4N5RtAfNfgKXDYecsaP8ZFKxkd3TKBSKOX+LVmWFEnrxMm6qFGNm+MvlzZrY7LHUXtEWv7kzuIvDYz9Dla7hwGL5oCKvGQXys3ZGpOxQTl8B7i3fTYeJ6zl69weQnajDx8eqa5H2AtujVnROBql2tm60WDYVVYyFyjnWnbZEadkenUuGPQ+cZFhLGwXPXeCS4KMNbVyJ3Nq1q6iu0Ra/uXvYA6Po1dP8Jrl+Er5rCkuEQG213ZCoFV2/E8+ZvETzyxUZiExL5vk8txne9T5O8j9EWvXKd8q2gRF2rEubGz2D3Amj/CZRsaHdkKhkr95xh+KxwTl6O4al6gbzcvDzZtT6NT9IWvXKtLLmtYZe95lmvp7WDeYMh5pK9cal/XLgWy4s/b+epb7aQLbM/M5+py4h2lTXJ+zD9zSr3KNkQBmyAVWNg40TYu8Qallm+ld2RpVvGGBaGn2LE3AguRsfxfJMyDGpShsz+WoTM12mLXrlPpmzQfLR1Z23WPDCjG8zsY012otLU6csxPP3dVgb9uI1CubMy99n6vNi8vCb5dEJb9Mr9itaA/qth3QRY8z4cWAGtxlsjdrSMglsZY/gl9CijF+wiNj6R11pVoE/9kvhrEbJ0RRO9Shv+maDRUKjYziqSNquvVUahzYfWmHzlckeionltdhjr90dRs2RexnWuSiktQpYu6de6SlsFK0GfZdBiDBxcbRVJC50KiYl2R+YzEhINX687RIuP1rDj6CVGd6zCT/1qa5JPx1JM9CJSTERWikikiOwUkcHJbPO4iISJSLiIbBCR+5KsO+xYvl1EtMi8Ar8MUGcQDNwARapZpRSmtYOoA3ZH5vX2nb5C18kbeGd+JLVL5WXpCw15orZWmkzvnOm6iQdeMsZsE5GcwFYRWWaMiUyyzSHgQWPMBRFphTXJd60k6xsbY/QKnPq3vKWg51zYNt2aoPzzutB4ONQeaFXMVE6LjU9k8uoDfLpiHzky+/PRo/fT4f7CiF4DUTiR6I0xJ4GTjudXRGQXUASITLLNhiS7bMKaBFyplIlAjV5QthkseAmWvfn/RdLurWJ3dF5hx9GLDA0JY/epK7S7rzAj2lUiIIfWp1H/L1V99CISCFQDNt9msz7AoiSvDbBURLaKSP/bvHd/EQkVkdCzZ8+mJizlC3IVhm4/QtepcPEoTHkQVo6xpjRUyboem8DYhbvoNGk9F6Jj+bJnMJ92r6ZJXv2H03PGikgOYDXwrjFm1i22aQxMAuobY6Icy4oYY46LSAFgGfCcMWbN7Y6lc8amc9eiYMlrEPYz5K9gte6LPWB3VB5l08EohoWEcTgqmu41izGsVUVyZ9X6NOnZ7eaMdapFLyIZgRDgh9sk+SDgK6DD30kewBhz3PHvGWA2UDN14at0J3s+6DwFHvsFblyBr5vB4tcg9prdkdnuSkwcw2eH023KJhIN/Ni3FmM7B2mSV7flzKgbAb4GdhljPrzFNsWBWUAPY8zeJMuzOy7gIiLZgeZAhCsCV+lAuRYwcJM10cmmSTCpDhxcZXdUtlmx+zTNJ6xhxh9H6Fu/JIuHNKBumQC7w1JeIMWuGxGpD6wFwoG/Bzu/DhQHMMZMFpGvgC7AX4718caYYBEphdWKB+vC74/GmHdTCkq7btR/HF4Pc5+D8wegWg+rtELWe+yOKk1EXb3BqPmRzNl+gnIFc/BelyCqFc9jd1jKw9yu68bpPvq0pIleJSvuujW5yYZPIXsBaPuhNWG5jzLGMC/sJCPn7uRKTBwDG5VhUOMyZPLX+xzVf911H71SHiFjVmg2CvoutyY7+ekx+PVJuHrG7shc7tSlGPpND+X5GX9SLE9W5j1XnxealdMkr+6I3pWivE+R6tB/Faz7CNaMt/rtW46DoEe9vkiaMYafthxlzIJdxCUmMrx1RXrXL0kGvbNV3QVN9Mo7ZcgID77iKJL2HMx+GsJnWjXv7ylmd3R35PC5a7w2K5yNB6OoXSov4zoHERiQ3e6w7kpcXBzHjh0jJibG7lB8RpYsWShatCgZMzo/0kr76JX3S0yAP76E5W+D+EHTkRDcB/y8o5sjIdEwdd0h/rdsDxn9/Hi9TUW6PVDMJ8oXHDp0iJw5c5IvXz6f+HnsZowhKiqKK1euULJkyX+t0z565dv8MkDtZ2DgRigaDAtfhm/bwLn9dkeWoj2nrtB50nreXbiL+mUCWPbig3SvWdxnkmJMTIwmeRcSEfLly5fqv5A00SvfkScQevwGHSbCmZ1WkbR1EyAh3u7I/iM2PpEJy/bS9tO1HL1wnU+6V+PLnsHcmzuL3aG5nCZ517qT86l99Mq3iEC1J6BMU6tI2u8jYedsK/nfW9Xu6ADYfvQir87cwd7TV+lwf2FGtKtM3uyZ7A5L+TBt0SvflPNeePR7eHgaXD4BUxrB8ncgzr6LgtGx8YyeH0nnSeu5fD2er3sF83G3aprk3SxHDmvClRMnTtC1a1ebo7GHtuiV7xKByh2hZENYMhzWfgC75lpF0orXSnF3V9qw/xzDZoVz5Hw0j9cqztBWFciVRevTpKXChQszc+ZMu8OwhSZ65fuy5YVOn0PVLjBvCExtATX7w0NvQWb3Tq936XocYxfu4qctRwnMl42f+temdql8bj2mp3p73k4iT1x26XtWKpyLEe0qO7Xt4cOHadu2LREREXz77bfMnTuX6OhoDhw4QKdOnRg/fjwAS5cuZcSIEdy4cYPSpUvzzTff/PNXwc0CAwMJDQ0lICCA0NBQXn75ZVatWsXIkSM5cOAA+/fv59y5c7z66qv069fPZT93amnXjUo/yjS1RubU7Ad/fGEVSdu/3G2HWxZ5muYTVvNL6FGebliKRYMbptsk74m2b9/Ozz//THh4OD///DNHjx7l3LlzjB49mt9//51t27YRHBzMhx8mW8sxRWFhYaxYsYKNGzcyatQoTpw44eKfwHnaolfpS+ac0Pp9qNzZutHq+85w/+PQ4l3I6ppCYeeu3mDk3J3MDztJhXtz8mXPYIKK3uOS9/Zmzra808pDDz1E7ty5AahUqRJ//fUXFy9eJDIyknr16gEQGxtLnTp17uj9O3ToQNasWcmaNSuNGzfmjz/+oGPHjq4KP1U00av0qUQdeGYdrH4P1n8M+3+H1h9ApfZ3/JbGGOZsP8Hb83Zy9UY8LzYrxzMPltb6NB4qc+b/n4krQ4YMxMfHY4yhWbNmzJgxw6n38Pf3JzHRKup789j2m4dB2jnMVD+BKv3KmAWajoB+KyBHAfilB/zcA66cTvVbnbh4nd7fbmHIz9spkS87C55vwPMPldUk72Vq167N+vXr2b/futnu2rVr7N2795bbBwYGsnXrVgBCQkL+tW7OnDnExMQQFRXFqlWreOAB+2ZJ00+hUoXvh34rrYuze5fAxJrw5w/gRHmQxETDd5v+ovmENWw6eJ4321YiZEBdyhXM6f64lcvlz5+fb7/9lu7duxMUFESdOnXYvXv3LbcfMWIEgwcPJjg4mAwZMvxrXVBQEI0bN6Z27dq8+eabFC5c2N3h35LWulEqqbN7rb77o5ugdBNo+xHkKZHspofOXWNoSBh/HDpPvTL5GNspiOL5sqVtvB5u165dVKxY0e4w0tzIkSPJkSMHL7/8slveP7nzele1bkSkmIisFJFIEdkpIoOT2UZE5BMR2S8iYSJSPcm6XiKyz/HodQc/k1JpJ385eGoRtHofjmy2RuZs/gISE//ZJD4hkcmrD9DyozXsOnmZ8V2C+L5PLU3yymM5czE2HnjJGLPNMf/rVhFZZoyJTLJNK6Cs41EL+ByoJSJ5gRFAMGAc+841xlxw6U+hlCv5+UGt/lC+pTXuftGrEDEL2n9KZNy9DA0JI/z4JZpVKsjojlUomMv36tOof+vUqROHDh3617L33nuPFi1aJLv9yJEj0yAq56WY6I0xJ4GTjudXRGQXUARImug7ANON1Q+0SUTuEZFCQCNgmTHmPICILANaAs5d0lbKTvcUhydCYMcMzOLXSJhUl0VxnTmTuRMTH6tO66r3asGudGL27Nkpb+TBUnUxVkQCgWrA5ptWFQGOJnl9zLHsVsuTe+/+IhIqIqFnz55NTVhKuY8IW/O04hH/j1kSX42X/H9mfb7RtAk4rUleeQ2nE72I5ABCgCHGGNfexwwYY6YYY4KNMcH58+d39dsrlWrXbsTz9ryddJ28geNxOcn2xA/wyHf4R5+FL5tYlTHjrtsdplIpcuqGKRHJiJXkfzDGzEpmk+NA0vnbijqWHcfqvkm6fNWdBKpUWlq77yyvzQrn2IXr9KxTgldbViBHZn+gPZRsAEvesGrd75pnFUkrcWd3TyqVFpwZdSPA18AuY8ytij7MBXo6Rt/UBi45+vaXAM1FJI+I5AGaO5Yp5ZEuRcfx6swd9Pj6DzJm8OOXp+swqkMVR5J3yJoHOk6EHrMhIRa+aQkLXoYbV+wLXKnbcKbrph7QA2giItsdj9Yi8oyIPOPYZiFwENgPfAkMBHBchH0H2OJ4jPr7wqxSnmZxxCmaTlhNyLbjDGhUmkWDG1CzZN5b71C6CQzYCLWegS1fWUMx9/2edgErp6RVPfpVq1bRtm1bt73/3XBm1M064LZXnRyjbQbdYt1UYOodRadUGjh7xSpCtiD8JBUL5WJqrweoWjS3cztnzgGt3nMUSXsWfugC93WHFmOs8sjKY2g9eqXSIWMMs7YdZ9T8SK7HJvBKi/L0b1iKjBnuoDJI8Vrw9FprcpN1ExxF0t6HSh2tCVAULBoGp8Jd+573VoVW45za1B316BcvXsyQIUPIli0b9evX/2f5+fPn6d27NwcPHiRbtmxMmTKFoKAgqlatytq1a8mdOzcBAQFMmDCBnj170rNnT3r06MHx48dvGdfd0Fo3Kl06diGaXt9s4aVfd1CmQA4WDm7AoMZl7izJ/y1jFmjyBvRfBbmKwK9Pws9PwJVTrgpbudDd1qOPiYmhX79+zJs3j61bt3Lq1P//nkeMGEG1atUICwtjzJgx9OzZE4B69eqxfv16du7cSalSpVi7di0AGzdupG7dureM625pi16lK4mJhu83/8V7i3ZjgJHtKtGzTiB+fi5sdd9bFfouh42fwaqx8FlNq959tSfSd+veyZZ3WrnbevS7d++mZMmSlC1bFoAnnniCKVOmALBu3bp/qlk2adKEqKgoLl++TIMGDVizZg0lSpRgwIABTJkyhePHj5MnTx6yZ89+y7iKFSuWTATO00Sv0o0DZ68yLCSMLYcv0KBsAGM6VaVYXjfVp8ngD/WHQIW2VpG0uc9CxExo9zHkCXTPMVWquKIefWo1bNiQiRMncuTIEd59911mz57NzJkzadCgwW3julvadaN8XlxCIpNW7afVx2vZc+oK73cNYnrvmu5L8kkFlIEnF0Cb/8GxUGtkzqbPITHB/cdWqZaaevQVKlTg8OHDHDhwAOBfXw4NGjTghx9+AKzROAEBAeTKlYtixYpx7tw59u3bR6lSpahfvz4ffPABDRs2dOvPpYle+bSI45foOHE94xfvoUn5Avz+0oM8HFwsbcsX+PnBA31h4CYoUQ8WD7MmKD9z6zrnyh6pqUefJUsWpkyZQps2bahevToFChT4Z93IkSPZunUrQUFBDBs2jGnTpv2zrlatWpQrVw6wvhCOHz/+rwu57qD16JVPiolL4JPl+/hizUHyZMvEOx0q06pqIbvDsiYzCf8VFg2F2KvQ8BWoNwT8M9kdmVuk13r07pbaevTaR698Tujh87waEsbBs9foWqMob7SpyD3ZPCSRikDQI1CqsVX+eOW7EDkH2n8KRaqnvL9Sd0ATvfIZV2/E8/7i3Uzf9BeFc2dleu+aNCznoQXycuSHh7+Bql1h/ovw1UNQ51lo/DpkzGp3dOomqa1H72k00SufsHrvWV6fFc6JS9fpVSeQV1qUJ3tmL/h4V2hj9dsvexM2fAK751ut+0D39tmmJWOM15d09qR69HfS3a4XY5VXuxgdy0u/7KDX1D/InNGPX5+uw8j2lb0jyf8t6z1Wcu85xxqN820bmP8CxLi8Gniay5IlC1FRUXeUnNR/GWOIiooiS5bUzWrmRf8blPq3heEneWtOBBei4xjUuDTPNSlLlowZ7A7rzpVqBAM3wsoxsGkS7F0CbSdAOe/oHkhO0aJFOXbsGDqZkOtkyZKFokWLpmofHXWjvM6ZyzG8NWcni3eeonLhXIzvGkTlwk4WIfMWx0JhziA4uxuqPgItx0H2fHZHpTyYjrpRPsEYw69bjzF6fiQx8YkMbVmBfg1K4n839Wk8VdFgeHoNrP3QKpR2YDm0Gg9VuqTvMgrqjmiiV17h6PloXp8dztp953ggMA/jugRROn/yFQV9hn9maPwaVGpvte5D+kBEiHWXba7CdkenvIgmeuXREhIN0zce5v0lexDgnQ6VebxWCdcWIfN0BStDn99h8+ewYjRMrAXN34HqvbR1r5ySYqIXkalAW+CMMaZKMutfAR5P8n4VgfzGmPMichi4AiQA8bfqP1IqOfvPXOHVmWFsO3KRB8vl591OVSiaJw3q03iiDP5Q9zko3xrmDbYe4TOh/SeQt5Td0SkPl+LFWBFpCFwFpieX6G/ath3wgjGmieP1YSDYGHMuNUHpxdj0LS4hkS9WH+CT5fvJljkDb7WtRKdqRbx+LLbLJCbCtmmw7C1IiLNq4NceAH5ePOJI3bW7uhhrjFkjIoFOHqs74J76nipdCD92iVdm7mD3qSu0CSrEyHaVyZ8zc8o7pid+fhD8FJRtDgtehKXDYecsaP8ZFKxkd3TKA7lsuIKIZANaAiFJFhtgqYhsFZH+KezfX0RCRSRUx9ymPzFxCYxbtJuOk9YTdS2WL3rUYOJj1TXJ307uItD9J+jyNVw4DF80hFXjID7W7siUh3Hlxdh2wHpjzPkky+obY46LSAFgmYjsNsasSW5nY8wUYApYXTcujEt5uM0Hoxg2K5xD567xaHAxXm9dkdzZMtodlncQserllGpklT9eNdZRJO0zKFrD7uiUh3DlAORu3NRtY4w57vj3DDAbqOnC4ykvdyUmjjd/i+DRKZuIS0jk+z61eK9rkCb5O5E9ALp8ZbXwr1+Er5vCkuEQG213ZMoDuKRFLyK5gQeBJ5Isyw74GWOuOJ43B0a54njK+63cfYbhs8M5eTmG3vVK8nKLcmTLpKN971r5VlCiLiwbYc1Z+3eRtJLuncFIeTZnhlfOABoBASJyDBgBZAQwxkx2bNYJWGqMuZZk14LAbMdICX/gR2PMYteFrrzR+WuxvDM/ktl/HqdsgRzMfKYuNUrksTss35IlN7T7yLqLdu5zMK2dNea++TvWOpXuaK0blSaMMSwIP8mIOTu5dD2OgY1KM6hJGTL765BAt4qNhlVjYONEyFHQKpJWvpXdUSk3uN3wSh8sEqI8zenLMfT/bivP/vgnhe/Jyrzn6vNi8/Ka5NNCpmzQfDT0/R2y5oUZ3WBmb7iWqltblJfTTlHlNsYYfgk9yugFu4iNT+S1VhXoU99Hi5B5uiI1oP8qWDcB1rwPB1ZaRdKqdtUyCumAJnrlFkeiohk2K4wNB6KoWTIv73UJomRAdrvDSt/8M0GjoY4iac/CrL7WROVtP4TcqatvrryLNq2USyUkGr5ae5AWH60h7NglRneswk/9amuS9yQFKkKfpdBiLBxeCxNrw5avrdIKyidpi165zN7TVhGy7Ucv0qRCAUZ3rELhe3Sia4/klwHqDLQuzM4bbJVSiJhlFUnLV9ru6JSLaYte3bXY+EQ+/n0fbT5Zy19R1/i42/183StYk7w3yFvSmqu2/adwKhw+rwvrP4aEeLsjUy6kLXp1V3YcvcjQkDB2n7pCu/sKM7JdJfLl0Po0XkUEqveEMs1gwUtWVcyds60yCvfetmCt8hLaold35HpsAmMW7qLTpPVciI7ly57BfNq9miZ5b5arEHT7Abp+AxePwpQHYcW7EH/D7sjUXdIWvUq1jQeieG1WGIejoulesxivta5Irixan8YniECVzo4iaa/BmvGwa67Vui/2gN3RqTukLXrltMsxcbw+O5zuX24i0cCPfWsxtnOQJnlflC0vdP4CHp8JN67C182sxB97LeV9lcfRFr1yyvJdpxk+O4IzV2Lo16AkLzYrT9ZMemerzyvbDAZuhOVvw6ZJVpG0dp9A6cZ2R6ZSQVv06rairt7g+Rl/0mdaKLmzZmTWwHoMb1NJk3x6kiUXtPkfPLkQ/DLCdx1hziCrHLLyCtqiV8kyxjB3xwnenhfJlZg4hjQty8BGZcjkr22DdCuwHgxYb81iteFT2Pe79QVQsa3dkakU6P9a9R8nL12n77RQBv+0nWJ5szH/uQYMaVpOk7yCjFmh2dvQbzlkzw8/Pw6/9IKrZ+yOTN2GtujVPxITDT9tOcrYhbuIS0zkjTYVeapeSTL4adErdZPC1aD/SuvmqtXvwaHV0HIcBD2qRdI8UIpNNBGZKiJnRCTiFusbicglEdnueLyVZF1LEdkjIvtFZJgrA1eudfjcNR77ahOvzw6nSpHcLBnSkL4NSmmSV7eWISM0fBmeWQf5ysLsp+GHrtYYfOVRnPlb/FugZQrbrDXG3O94jAIQkQzARKAVUAnoLiKV7iZY5XrxCYlMWXOAFh+tYefxy4zrXJUf+9WiRD4tQqaclL889F5slT3+ayNMqg1/fKlF0jxIil03xpg1IhJ4B+9dE9hvjDkIICI/AR2AyDt4L+UGu09dZujMMHYcu0TTigUY3bEq9+bOYndYyhv5ZYBaT0O5llaRtIUvQ0SIVUMnoKzd0aV7rrq6VkdEdojIIhGp7FhWBEj6N9wxx7JkiUh/EQkVkdCzZ8+6KCyVnBvxCXy4bC9tP1nHsQvX+bR7Nb7sGaxJXt29PCWgx2zoMAnORMLn9WDth1okzWauuBi7DShhjLkqIq2B34BUf4UbY6YAU8CaM9YFcalk/HnkAkNDwth7+iod7y/MW+0qkzd7JrvDUr5EBKo9DmWawsKXrJutIn+zyigUCrI7unTprlv0xpjLxpirjucLgYwiEgAcB4ol2bSoY5myQXRsPO/Mj6Tz5xu4EhPP1CeD+ahbNU3yyn1yFoRHv4dHpsPlkzClESwfBXExdkeW7tx1i15E7gVOG2OMiNTE+vKIAi4CZUWkJFaC7wY8drfHU6m3fv85hs0K4+j56zxeqzjDWlUgp9anUWmlUgcIbABLhsPa/0HkXOjwGRSvbXdk6UaKiV5EZgCNgAAROQaMADICGGMmA12BASISD1wHuhljDBAvIs8CS4AMwFRjzE63/BQqWZeuxzF24S5+2nKUwHzZ+Kl/bWqXymd3WCo9ypYXOn0OVbvAvCEwtSXU7A8PvQWZc9gdnc8TKyd7luDgYBMaGmp3GF5t6c5TvPFbBOeu3qBfw1K80LQcWTJqfRrlAW5cgeXvwB9TIHcxaPcRlHnI7qi8nohsNcYEJ7dO72n3Meeu3uDZH7fR/7ut5M2eid8G1eO1VhU1ySvPkTkntB5vjb33zwzfd4bfBkL0ebsj81laAsFHGGP4bftx3p4XSfSNBF5qVo6nHyyt9WmU5ype27qrds14WPcR7FsGbT6w+vSVS2mi9wEnLl5n+OxwVu45S7Xi9zC+SxBlC+a0OyylUpYxi9VPX6mjVfr4l55QsT20/sAataNcQhO9F0tMNPzwxxHGLdxFooG32laiV91ArU+jvE+hIOi3wip/vGqcVSStxVi4/zEtkuYCmui91MGzVxkWEs4fh89Tv0wAYztXpVjebHaHpdSdy5ARGrwIFdvB3OdgzkAI/xXafWzdcavumHbgepn4hEQmrz5Aq4/XsuvUZcZ3CeK7PjU1ySvfEVDWms2q9QdwbAtMqgObv9AiaXdBW/ReJPLEZV4N2UHE8cs0r1SQdzpWoWAurU+jfJCfH9TsB+VawPwXYNGr/18kLX95u6PzOtqi9wI34hP439I9tP9sHacuxTDxsep80aOGJnnl++4pDo/PhE5fwLm9MLk+rPkAEuLsjsyraIvew2396zxDQ8LZf+YqnasX4c02lcij9WlUeiIC93WD0k1g4Suw4h3Y+ZtVRqHw/XZH5xW0Re+hrt2IZ+TcnXSdvJHrsQl8+9QDfPjI/ZrkVfqVowA8Ms0qlHbtDHzZBJaNgLjrdkfm8bRF74HW7jvLa7PCOXbhOj3rlODVlhXIkVl/VUoB1qicwPqw9E1Y/xHsnm/13Zeoa3dkHktb9B7kUnQcr/y6gx5f/0GmDH788nQdRnWookleqZtlzWN13fT4DRJi4ZtWsOAlq46O+g/NIB5iccQp3pwTwflrsQxoVJrBD5XV+jRKpaR0Yxi4CVaMhk2fw57FVpG0ss3sjsyjaIveZmeuxDDwh6088/1W8ufIzJxB9RjasoImeaWclSk7tBwLfZZaz3/oCrOe1iJpSWiL3ibGGEK2Heed+ZFcj0vglRbl6d+wFBkz6HevUnekWE14Zq01/HLdh3BgObR+36qjk87LKGiit8GxC9G8PjuCNXvPUqNEHt7rEkSZAjr5glJ3zT8zNBluVcCcMwh+fRIqtLXuss1VyO7obJNi81FEporIGRGJuMX6x0UkTETCRWSDiNyXZN1hx/LtIpLuZxJJTDRM23CY5hPWEHr4PG+3r8yvT9fRJK+Uq91bBfouh2ajYP/vMLEWbJsOHjjRUlpwpkX/LfAZMP0W6w8BDxpjLohIK2AKUCvJ+sbGmHN3FaUPOHD2KkNnhhH61wUalA1gTCctQqaUW2Xwh3qDrRb93OesR/hMq0ha3pJ2R5emUmzRG2PWALe8qmGM2WCMueB4uQko6qLYfEJcQiITV+6n1cdr2XfmKh88fB/Te2sRMqXSTL7S0Gs+tPkQjm+Dz+vCxkmQmGB3ZGnG1Vf++gCLkrw2wFIR2Soi/W+3o4j0F5FQEQk9e/asi8OyR8TxS3ScuJ73l+yhacUCLHuxIV1rFEXS+YUhpdKcnx880AcGbbJutlryGkxtAWd22x1ZmnBqcnARCQTmG2Oq3GabxsAkoL4xJsqxrIgx5riIFACWAc85/kK4LW+fHDwmLoFPlu/jizUHyZMtE6M7VqZllfR7IUgpj2KMVed+0VCIvQoNX4F6Q8Dfu8uL3G5ycJeMuhGRIOAroNXfSR7AGHPc8e8ZEZkN1ARSTPTebMvh8wydGcbBc9d4uEZR3mhTidzZMtodllLqbyIQ9AiUagyLh8LKdx1F0j6FIjXsjs4t7rrrRkSKA7OAHsaYvUmWZxeRnH8/B5oDyY7c8QVXb8Tz1pwIHp68kRvxiUzvXZP3H75Pk7xSnipHfug6FbrNgOvn4aumVv2c2Gi7I3O5FFv0IjIDaAQEiMgxYASQEcAYMxl4C8gHTHL0Pcc7/nwoCMx2LPMHfjTGLHbDz2C71XvP8vqscE5cus6TdQN5pUV5smt9GqW8Q4XWEFjPSvIbPvn/ImmB9e2OzGWc6qNPa97SR38xOpZR8yOZte04pfNn570uQQQH5rU7LKXUnTq4GuY9DxcOQ3BvaPo2ZMlld1ROcXsffXpjjGFRxCnemhPBxeg4nm1chmeblNH6NEp5u1IPwoCNVr/9pkmwdwm0nWBNaejFtLBKKp25HMMz329l4A/buDd3FuY8W4+XW5TXJK+Ur8iUDVq8C32WQeZc8OMjENIXrnnvfZ/aoneSMYZftx5j9PxIYuITGdqyAv0alMRfi5Ap5ZuKBsPTa6wCaWs+gAMroNV4qNLF64qkaaJ3wtHz0bw2K5x1+89RMzAv47pUpVR+rU+jlM/zzwSNhkHF9jD3WQjpY5VRaPsh5Cpsd3RO0+bobSQkGr5Zf4jmE9bw55ELvNOhMj/1r61JXqn0pmAlqyun+btwcJVVJG3rt15TJE1b9Lew/8wVXp0ZxrYjF3mwXH7GdK5KkXuy2h2WUsoufhmg7rPWcMy5z8O8wVbrvv0nkLeU3dHdlrbobxKXkMiny/fR+uN1HDx3jQmP3se3Tz2gSV4pZclbCnrNs6pgntwBk+rChk89ukiatuiTCD92iVdm7mD3qSu0CSrE2+0rE5Ajs91hKaU8jQjUeBLKNof5L8LSNyBiFnSYaHXzeBht0WMVIRu7aBcdJq7j/LVYvuhRg4mPVdckr5S6vVyFofsMq5TCxSPwRUNYORbiY+2O7F/SfYt+88Eohs0K59C5azwaXIzX21Qkd1atT6OUcpKINeSyZCNYPAxWj4PIOVbrvqhnFElLty36KzFxvPFbOI9O2UR8YiI/9K3Fe12DNMkrpe5M9nzQ5Ut47Be4cRm+bgpLhntEkbR02aJfufsMw2eHc/JyDH3ql+Sl5uXIlildngqllKuVawEDN8HvI2DjZ/9fJK1kQ9tCSlct+vPXYnnh5+089e0Wsmf2J2RAXd5sW0mTvFLKtbLksmrkPLkAxA+mtbOGZF6/aEs46SLDGWOYH3aSkXN3cul6HM8/VJZBjUuT2V/r0yil3CiwPgzYAKvGWkMw9y215q6t0DpNw/D5Fv3pyzH0m76V52b8SZE8WZn3XH1ebFZOk7xSKm1kzArNRkHf5ZA1L/zUHX59Cq6m3dzYPtuiN8bw85ajvLtwF7HxibzeugK962kRMqWUTYpUh/6rYP3HsGa8VUqh1XtQ9WG3F0lzKuuJyFQROSMiyU4FKJZPRGS/iISJSPUk63qJyD7Ho5erAr+dI1HRPP7VZobNCqdSoVwsGdKQ/g1La5JXStnLPxM8+Ao8vRbylYZZ/eDHR+HSMbce1tnM9y3Q8jbrWwFlHY/+wOcAIpIXa+rBWlgTg48QkTx3GmxKEhINX609SPOPVhN27BLvdqrCjH61CQzI7q5DKqVU6hWoAL2XQMtxcHgtTKwNW76GxES3HM6pRG+MWQOcv80mHYDpxrIJuEdECgEtgGXGmPPGmAvAMm7/hXHHLkXH0eXzDYxesIu6pQNY9mJDHq9VAj8/76obrZRKJ/wyQO0BMHCjdWPVghdhWluIvebyQ7mqj74IcDTJ62OOZbda/h8i0h/rrwGKFy+e6gByZfWnRL5sPFUvkPb3FUa8bGIApVQ6lScQevwGf34PRzdDJtf3QHjMxVhjzBRgCliTg6d2fxHh427VXB6XUkq5nQhU72E93MBVVyePA8WSvC7qWHar5UoppdKIqxL9XKCnY/RNbeCSMeYksARoLiJ5HBdhmzuWKaWUSiNOdd2IyAygERAgIsewRtJkBDDGTAYWAq2B/UA08JRj3XkReQfY4nirUcaY213UVUop5WJOJXpjTPcU1htg0C3WTQWmpj40pZRSrqB3ECmllI/TRK+UUj5OE71SSvk4TfRKKeXjxLqO6llE5Czw1x3uHgCcc2E4rqJxpY7GlToaV+r4YlwljDH5k1vhkYn+bohIqDEm2O44bqZxpY7GlToaV+qkt7i060YppXycJnqllPJxvpjop9gdwC1oXKmjcaWOxpU66Soun+ujV0op9W++2KJXSimVhCZ6pZTycV6T6EWkpYjscUxAPiyZ9ZlF5GfH+s0iEphk3WuO5XtEpEUax/WiiEQ6Jk1fLiIlkqxLEJHtjsfcNI7rSRE5m+T4fZOsc9uE7k7ENSFJTHtF5GKSde48X1NF5IyIRNxivYjIJ464w0SkepJ17jxfKcX1uCOecBHZICL3JVl32LF8u4iEpnFcjUTkUpLf11tJ1t32M+DmuF5JElOE4zOV17HOneermIisdOSCnSIyOJlt3PcZM8Z4/APIABwASgGZgB1ApZu2GQhMdjzvBvzseF7JsX1moKTjfTKkYVyNgWyO5wP+jsvx+qqN5+tJ4LNk9s0LHHT8m8fxPE9axXXT9s8BU919vhzv3RCoDkTcYn1rYBEgQG1gs7vPl5Nx1f37eECrv+NyvD4MBNh0vhoB8+/2M+DquG7ath2wIo3OVyGguuN5TmBvMv8n3fYZ85YWfU1gvzHmoDEmFvgJa0LypDoA0xzPZwIPiYg4lv9kjLlhjDmEVTO/ZlrFZYxZaYyJdrzchDXLlrs5c75uxZ0Tuqc2ru7ADBcd+7aMMWuA282V0AGYbiybgHtEpBDuPV8pxmWM2eA4LqTd58uZ83Urd/PZdHVcafn5OmmM2eZ4fgXYxX/nz3bbZ8xbEr0zk4z/s40xJh64BORzcl93xpVUH6xv7L9lEZFQEdkkIh1dFFNq4uri+BNxpoj8PeWjR5wvRxdXSWBFksXuOl/OuFXs7jxfqXXz58sAS0Vkq4j0tyGeOiKyQ0QWiUhlxzKPOF8ikg0rWYYkWZwm50usbuVqwOabVrntM+Yxk4P7OhF5AggGHkyyuIQx5riIlAJWiEi4MeZAGoU0D5hhjLkhIk9j/TXUJI2O7YxuwExjTEKSZXaeL48mIo2xEn39JIvrO85XAWCZiOx2tHjTwjas39dVEWkN/AaUTaNjO6MdsN78e8Y7t58vEcmB9eUyxBhz2ZXvfTve0qJ3ZpLxf7YREX8gNxDl5L7ujAsRaQoMB9obY278vdwYc9zx70FgFda3fJrEZYyJShLLV0ANZ/d1Z1xJdOOmP6vdeL6ccavY3Xm+nCIiQVi/ww7GmKi/lyc5X2eA2biuyzJFxpjLxpirjucLgYwiEoAHnC+H232+3HK+RCQjVpL/wRgzK5lN3PcZc8eFB1c/sP7yOIj1p/zfF3Aq37TNIP59MfYXx/PK/Pti7EFcdzHWmbiqYV18KnvT8jxAZsfzAGAfLroo5WRchZI87wRsMv9/4eeQI748jud50youx3YVsC6MSVqcryTHCOTWFxfb8O8LZX+4+3w5GVdxrOtOdW9anh3ImeT5BqBlGsZ179+/P6yEecRx7pz6DLgrLsf63Fj9+NnT6nw5fvbpwEe32cZtnzGXnVx3P7CuSO/FSprDHctGYbWSAbIAvzo+9H8ApZLsO9yx3x6gVRrH9TtwGtjueMx1LK8LhDs+6OFAnzSOayyw03H8lUCFJPv2dpzH/cBTaRmX4/VIYNxN+7n7fM0ATgJxWH2gfYBngGcc6wWY6Ig7HAhOo/OVUlxfAReSfL5CHctLOc7VDsfveXgax/Vsks/XJpJ8ESX3GUiruBzbPIk1QCPpfu4+X/WxrgGEJfldtU6rz5iWQFBKKR/nLX30Siml7pAmeqWU8nGa6JVSysdpoldKKR+niV4ppXycJnqllPJxmuiVUsrH/R+y4U2hKRgeawAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "line_up,= ax.plot([1, 2, 3], label='Line 2')\n",
    "line_down, = ax.plot([3, 2, 1], label='Line 1')\n",
    "ax.legend([line_up,line_down],[\"line_up\",\"line_down\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2310125e988>"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "line_up,= ax.plot([1, 2, 3], label='Line 2')\n",
    "line_down, = ax.plot([3, 2, 1], label='Line 1')\n",
    "ax.legend(bbox_to_anchor=(0.5,0.5),loc=\"lower left\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### bbox_to_anchor=(0.5,0.5)，两个值指的是legend的原点，0.5指的是figure的宽高的0.5倍，loc=\"lower left\"指的是figure的左下角，作为LEGEND的原点，所以legend的左下角在figure的中心"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1,2)\n",
    "line_up,= ax[0].plot([1, 2, 3], label='Line 2')\n",
    "line_down, = ax[0].plot([3, 2, 1], label='Line 1')\n",
    "ax[0].legend(bbox_to_anchor=(0,0,0.5,0.5),loc=\"upper right\")\n",
    "ax[0].grid()\n",
    "# 在左下(0.0-1.0)(0.0-2.0)确定一个区域，再根据loc确定legend的位置\n",
    "\n",
    "line_up, = ax[1].plot([1, 2, 3], label=\"Line 2\")\n",
    "line_down, = ax[1].plot([3, 2, 1], label=\"Line 1\")\n",
    "ax[1].legend(bbox_to_anchor=(0, 0, 0.5, 0.5), loc=\"lower left\")\n",
    "ax[1].grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### bbox_to_anchor=(0,0,0.5,0.5)，四个值，表示先确定一个小空间，根据loc值，再确定legned在小空间的位置"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x231033534c8>"
      ]
     },
     "execution_count": 121,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.plot([1, 2, 3], label=\"test1\")\n",
    "ax.plot([3, 2, 1], label=\"test2\")\n",
    "ax.legend(bbox_to_anchor=(0., 1.02, 1., .102), loc='lower left',ncol=2,mode=\"expand\",borderaxespad=0)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### mode=\"expand\"   表示legend的宽度会扩展到figure的宽度，borderaxespad=0 表示legend和坐标轴之间的距离\n",
    "#### borderaxespad=0 表示legend和坐标轴之间的距离"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2310523d208>"
      ]
     },
     "execution_count": 137,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplot_mosaic([['left', 'right']], layout='constrained')\n",
    "\n",
    "axs['left'].plot([1, 2, 3], label=\"test1\")\n",
    "axs['left'].plot([3, 2, 1], label=\"test2\")\n",
    "\n",
    "axs['right'].plot([1, 2, 3], 'C2', label=\"test3\")\n",
    "axs['right'].plot([3, 2, 1], 'C3', label=\"test4\")\n",
    "fig.legend(loc='upper left')\n",
    "fig.legend(loc='upper center')\n",
    "fig.legend(loc='upper right')\n",
    "\n",
    "fig.legend(loc='center left')\n",
    "fig.legend(loc='center')\n",
    "fig.legend(loc='center right')\n",
    "\n",
    "fig.legend(loc='lower left')\n",
    "fig.legend(loc='lower center')\n",
    "fig.legend(loc='lower right')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x231046d7308>"
      ]
     },
     "execution_count": 133,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplot_mosaic([['left', 'right']], layout='constrained')\n",
    "\n",
    "axs['left'].plot([1, 2, 3], label=\"test1\")\n",
    "axs['left'].plot([3, 2, 1], label=\"test2\")\n",
    "\n",
    "axs['right'].plot([1, 2, 3], 'C2', label=\"test3\")\n",
    "axs['right'].plot([3, 2, 1], 'C3', label=\"test4\")\n",
    "fig.legend(loc='upper center')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 156,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "line1, = ax.plot([1, 2, 3], label=\"Line 1\", linestyle='--')\n",
    "line2, = ax.plot([3, 2, 1], label=\"Line 2\", linewidth=4)\n",
    "\n",
    "first_legend = ax.legend(handles=[line1], loc='upper right')\n",
    "ax.add_artist(first_legend)\n",
    "\n",
    "ax.legend(handles=[line2], loc='lower right')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 155,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "matplotlib.legend.Legend"
      ]
     },
     "execution_count": 155,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(first_legend)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### legend由key、label组成，key是图例的形状，label是图例的名称\n",
    "\n",
    "##### handle指的是具体的图形，线、矩形等，handlelabel是图形的名称"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 158,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x23106acdc08>"
      ]
     },
     "execution_count": 158,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.legend_handler import HandlerLine2D\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "line1, = ax.plot([3, 2, 1], marker='o', label='Line 1')\n",
    "line2, = ax.plot([1, 2, 3], marker='o', label='Line 2')\n",
    "\n",
    "ax.legend(handler_map={line1: HandlerLine2D(numpoints=4)}, handlelength=8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 180,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x23105030208>"
      ]
     },
     "execution_count": 180,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from numpy.random import randn\n",
    "\n",
    "z = randn(10)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "red_dot, = ax.plot(z, \"ro\", markersize=15)\n",
    "# Put a white cross over some of the data.\n",
    "black_cross, = ax.plot(z[:5], \"k+\",markeredgewidth=5, markersize=20)\n",
    "ax.legend([red_dot,black_cross], [\"A\", \"B\"])\n",
    "ax.legend([red_dot,(red_dot,black_cross)], [\"A\", \"B\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.legend_handler import HandlerLine2D, HandlerTuple\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "p1, = ax.plot([1, 2.5, 3], 'r-d')\n",
    "p2, = ax.plot([3, 2, 1], 'k-o')\n",
    "\n",
    "l = ax.legend([(p1, p2)], ['Two keys'], numpoints=1,\n",
    "              handler_map={tuple: HandlerTuple(ndivide=2)})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
